1.

Find a fourth proportional to the numbers 2,5,4.

Answer» Let x be the fourth propoetional, then
2: 5 :: 4 : xor `2/5=4/x`
`x=(5xx4)/2=10.`
If b : : b : x,x is called the third proportional of a, b.
We have `a/b=b/x " or " x=b^(2)/a`.
Thus, third proportional of a, b is `b/a`


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