if 1/5:1/x :: 1/x:100/125,then find the value of x
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Step-by-step explanation:
the product of extremes is equal to the product of means
the answer is 25 / 2
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1/5 :1/x::1/x:100/25
Step1 -find the simplest form of ratio of 100/25
1/5:1/x::1/x:4/1
Step 2- now apply the rule product of extremes =product of means
1/5x4/1 =1 /xsquare
1/5x 4/1=(1/x)2
Step3 cancel the 2and 4
1/5x2/1=1/x
2/5=1/x
x=5/2 =2.5
answer =2.5 or 5/2
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