If 57:X ::51:85, then the value of x is

Options

A. 95
B. 76
C. 114
D. none of these

Answer

To solve the problem, we need to find the value of \( x \) in the proportion \( 57:X :: 51:85 \). This means that the ratios are equal, and we can set up the equation as follows:

### Step 1: Set up the proportion
We can write the proportion as:
\[ \frac{57}{x} = \frac{51}{85} \]

### Step 2: Cross multiply
To eliminate the fractions, we will cross multiply:
\[ 57 \times 85 = 51 \times x \]

### Step 3: Calculate \( 57 \times 85 \)
Now, we calculate \( 57 \times 85 \):
\[ 57 \times 85 = 4845 \]

### Step 4: Set the equation
Now we have:
\[ 4845 = 51 \times x \]

### Step 5: Solve for \( x \)
To find \( x \), we divide both sides by 51:
\[ x = \frac{4845}{51} \]

### Step 6: Calculate \( \frac{4845}{51} \)
Now, we perform the division:
\[ x = 95 \]

### Conclusion
The value of \( x \) is \( 95 \).

---