If you have a fiberglass shower stall, you know you cannot use scouring powder like Ajax on it. We have been using SoftScrub, but it comes in “lemon” and “fresh” scents. We are trying to maintain a fragrance-free household, and these products stink to high heaven. I called Dial, the company which distributes SoftScrub and found that the abrasive is calcium carbonate. Chalk.
I got some chalk line chalk, and now I am in business. You want to get it in white. Just sprinkle it on a wet soapy sponge and you are good to go to strip soap scum off your fixture. Incidentally, calcium carbonate is also an ingredient of many toothpastes. It is 3 on Mohs hardness scale.
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Actually, you could use talc powder, which is even softer, being a 1 on the Mohs scale.