Automated "other:" option appearing if...

So I have a slider type of question (where you rate sth e.g. from 0 to 100) on a survey I will be using soon to collect data. In this question I allow the possibility for the respondent to add their own option and then rate it on the slider.

For instance take the question:
How much do you like...
Honey 0-100
Milk 0-100
Chocolate 0-100
Other, namely: _______ 0-100

Now what I would like to happen is that if someone fills something in on the "other" field (and then rates it), then another "Other, namely:_______" field appears if they wish to add more options. And then another appears if they fill sth in on the 2nd other field, and so on.

Is this possible somehow?