I hope you don't take this the wrong way, but the simple answer is, "Well, yeah."
As in, you can't very well write if you don't read at least a little bit. Reading other works helps you develop your own style. That is, by observing how published authors do it, you can pick up tips and get an understanding for how fiction in general works. As in, you need exposure in order to understand anything about what you're doing, even if you're not outright analyzing anything. It's not just for inspiration. It's for observing examples from your seniors.
To put it simply, you don't attempt to do brain surgery unless you study how it's done and observe first. All those doctors? Totally observe operations as med students before going in. Likewise, playing soccer? You can't really play very well unless your coach demonstrates moves to you first or until you go to practice and see how the other players train. And for a non-crappy answer, if you're trying to learn any form of martial arts, the first thing they have you do before doing anything else is get black belts to demonstrate moves and then have you repeat them.
As in, it's really just a given that you have to read at least a little bit in order to write. It helps exercise your imagination by forcing you to picture what's going on, and on top of that, you're picking up stylistic choices (examples of why grammar is vital, the difference between good and bad characterization, et cetera) as you go.
If you're going to do this, I would highly recommend not only reading a lot more (even challenging yourself to read more than ten a year) but also diversify yourself when it comes to genre. For example, don't just read romance. Read a little bit of everything. Don't knock it until you try it, as the old cliche goes. Branching out and reading a little of everything helps you sample a wide variety of styles and ideas.