Suggesting "Incremental Resize" tool

[RandomWalker]

Here's a suggestion for a "Hidden Elements" tool:

Resizing an image by a large percentage at one stroke causes the resulting image to be seriously degraded, whereas I've read (and experienced) that multiple small resizings can produce a better result.

I imagine a tool where one could choose the total percentage increase or decrease and specify how many steps you want to use to accomplish the total change.

For example, say I have an image I want to shrink, via resampling, to 30% of its original pixel size. Say I want to get there in 10 steps. Each step would have to be 88.657% of the previous step (0.88657 = 0.30**0.1 i.e, the tenth root of 0.30). Manually, I would have to use the image>resize>Image Size, then change the Document Size drop-down menus to "Percent", enter the 0.88657 as the width and height, check the "Constrain Proportions" box, check "Resample Image", and click OK. And I would have to repeat this 10 times. It would be nice if a tool existed to do the repetitive work for me.

Thank you.