If 11.6: x :: x: 2.9, and x > 0, then find the value of x.
5.8
We have a proportion given by the statement 11.6 : x :: x : 2.9. This means that the ratio of 11.6 to x is equal to the ratio of x to 2.9. Mathematically, this can be expressed as:
11.6/x = x/2.9
To find the value of x, we can cross-multiply:
11.6 * 2.9 = x * x
This simplifies to:
33.64 = x2
To solve for x, take the square root of both sides:
x = √33.64
Calculating the square root gives:
x = 5.8
Therefore, the value of x is 5.8.
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