Find the fourth proportional to the following quantities.
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The answers are 12, 182/3, 4 ,12, 1/2
Step-by-step explanation:
1)1/2,4,6
Let the fourth proportion be x
Product of extreme=product of meani.e.1/2×x=4×6
x=4×6/2
x=24/2=12
x=12
2) 1 1/2,2 1/3,3 1/4kg
Let the fourth proportion be x
Product of extreme=product of mean
i.e.3/2×x=7/3×13/4
3x/2=28×39/12
x=91×2/3
x=182/3
3)14,16,35
Let the fourth proportion be x
Product of extreme=product of mean
i.e.14×x=16×35
x=560/14
x=4
4)2,3,8
Let the fourth proportion be x
Product of extreme=product of mean
i.e.2×x=3×8
x=24/2 =12
x=12
5) 6,4,1/2
Let the fourth proportion be x
Product of extreme=product of mean
i.e. 6×x=4×1/2
x=2/6
x=1/3
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