If 36: 81::X: 63, find the value of x.

Options

A. `38`
B. `28`
C. `48`
D. `58`

Answer

To solve the problem \( 36 : 81 :: X : 63 \), we can set up a proportion based on the given ratios. Here’s the step-by-step solution:

### Step 1: Set up the proportion
We can express the given ratio as a fraction:
\[ \frac{36}{81} = \frac{X}{63} \]

### Step 2: Cross-multiply
To solve for \( X \), we will use cross-multiplication:
\[ 36 \times 63 = 81 \times X \]

### Step 3: Calculate \( 36 \times 63 \)
Now, let's calculate \( 36 \times 63 \):
\[ 36 \times 63 = 2268 \]

### Step 4: Set up the equation
Now we have:
\[ 2268 = 81 \times X \]

### Step 5: Solve for \( X \)
To find \( X \), divide both sides by 81:
\[ X = \frac{2268}{81} \]

### Step 6: Perform the division
Now, let's calculate \( \frac{2268}{81} \):
\[ X = 28 \]

Thus, the value of \( X \) is \( 28 \).

### Final Answer
\[ X = 28 \]

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