If 0.75:x::5:8, then x is equal to:

Options

A. a. 1.12
B. b. 1.2
C. c. 1.25
D. d. 1.3

Answer

To solve the problem \( 0.75 : x :: 5 : 8 \), we can express the ratios in fractional form and then solve for \( x \).

### Step-by-Step Solution:

1. **Set up the equation**:
The ratio \( 0.75 : x \) can be written as:
\[ \frac{0.75}{x} = \frac{5}{8} \]

2. **Cross-multiply**:
To eliminate the fractions, we can cross-multiply:
\[ 0.75 \times 8 = 5 \times x \]

3. **Calculate \( 0.75 \times 8 \)**:
Now, we calculate \( 0.75 \times 8 \):
\[ 0.75 \times 8 = 6.00 \]
So, we have:
\[ 6.00 = 5x \]

4. **Isolate \( x \)**:
Next, we need to isolate \( x \) by dividing both sides by 5:
\[ x = \frac{6.00}{5} \]

5. **Perform the division**:
Now, we perform the division:
\[ x = 1.2 \]

Thus, the value of \( x \) is \( 1.2 \).

### Final Answer:
\[ x = 1.2 \]