Right signal keeps blowing out...advice?

[elp111]

I have a 99 Sunfire GT (automatic transmission) with about 115K miles on it. For the last month or so, I've gone through about 3 bulbs for my right turn signal. It keeps blowing out. The fuse is fine though. It also seems to me that the engine is running a little rougher than normal (although no lights have come on).

Could the rough engine and the turn signal be related problems?
If not, what could be the problem for my consistently blown out bulb?

Any help would be greatly appreciated!

[elp111]

Just had another bulb blow out after only being in for about three weeks. Fuses look fine and aren't blowing out. I really don't know what it could be and would like to have an idea before I take it somewhere.
Anyone have a similar problem??