High School

Solve the proportion:

[tex]\frac{2}{10}=\frac{11}{x}[/tex]

Choose the correct value of [tex]x[/tex] from the options below:

a. 2.2
b. 28
c. 55
d. 86
e. 67
f. 1.8
g. 52
h. 37
i. 110
j. 44

Answer :

To solve the proportion [tex]\(\frac{2}{10} = \frac{11}{x}\)[/tex], you can use cross-multiplication. Here’s how you can do it step by step:

1. Cross-Multiply: 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. This gives you:

[tex]\[
2 \times x = 10 \times 11
\][/tex]

2. Calculate the Product: Calculate the product on the right side of the equation:

[tex]\[
10 \times 11 = 110
\][/tex]

3. Write the Equation: Now you have the equation:

[tex]\[
2x = 110
\][/tex]

4. Solve for [tex]\(x\)[/tex]: To find [tex]\(x\)[/tex], divide both sides of the equation by 2:

[tex]\[
x = \frac{110}{2}
\][/tex]

5. Calculate the Result: Perform the division:

[tex]\[
x = 55
\][/tex]

Therefore, the solution to the proportion [tex]\(\frac{2}{10} = \frac{11}{x}\)[/tex] is [tex]\(x = 55\)[/tex].

So the correct answer is option c) 55.

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