I have in mind 4 positive numbers, which I would like you to find.

Out of the set of 6 pair-wise products of those numbers I am going to omit one.

The remaining five are: **8,10,12,24,30. **

(In reply to

re(2): Solution with Analysis by Steve Herman)

I like your expansion of
the solutionsâ€™ set.

Following your idea**, this problem has 4 solutions**. One
uses integers only.

The other 3, including yours:

** **

**SH: (2*sqrt(5/3),
4*sqrt(3/5), 5*sqrt(3/5), 6*sqrt(5/3)) **

**AT: (2*sqrt(15/4),
4*sqrt(15/4), 5*sqrt(4/15), 6*sqrt(4/15))
**

**AT: (2*sqrt(12/5),
4*sqrt(5/12), 5*sqrt(12/5), 6*sqrt(5/12)) **

Feel free to check/comment.