Solving the Proportion
The question asks to find the value of $x$ in the given proportion: $0.75 : x :: 25 : 8$
Proportion Equation
A proportion states that two ratios are equal. We can write the given proportion as an equation:
$ \frac{0.75}{x} = \frac{25}{8} $Solving for x
To find $x$, we can use cross-multiplication. Multiply the numerator of the first fraction by the denominator of the second fraction, and set it equal to the product of the denominator of the first fraction and the numerator of the second fraction.
$ 0.75 \times 8 = 25 \times x $Calculate the product on the left side:
$ 6 = 25 \times x $Now, isolate $x$ by dividing both sides by 25:
$ x = \frac{6}{25} $Final Value
The value of $x$ is $\frac{6}{25}$.
Similar Questions
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Important Questions from Ratio and Proportion
In a mixture of 156 litres, the ratio of milk and water is 7 : 6. How much water should be added to make the ratio 14 : 13?
If the ratio of the first to second number is 3 : 4 and that of the second to the third number is 8 : 5, and sum of three numbers is 190 then the third number is:
The third proportional to 9 and 15 is:
The average age of 3 persons is 30 years.If their ages are in the ratio of 3 : 5 : 7 respectively, then the age of the eldest person is:
The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:
