"Another" is used like "one more" many times. Ex. Do you have another(one more) bike? (Here you couldn't say "other"). But you could say: Do you have other bikes?
So "another" is singular and "other" is more plural usually.
Hope this helps a little and if not here's an article that may explain it better: http://www.nativespeakeronline.com/confusing-words/the-difference-between-another-other-and-different