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Question
Find the fourth proportional to 2xy, x2 and y2.
Solution
Let the fourth proportional to 2xy, x2 and y2 be n.
`=> 2xy : x^2 = y^2 : n`
`=> 2xy xx n = x^2 xx y^2`
`=> n = (x^2y^2)/(2xy) = (xy)/2`
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