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Finding the Fourth Proportional to 121.38, 181.84 and 111.92

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Solution

The fourth proportional to 121.38, 181.84 and 111.92 is: 167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.38 : 181.84 = 111.92 : x
  2. Step 2: Convert to fraction form
    121.38/181.84 = 111.92/x
  3. Step 3: Cross multiply
    121.38x = 181.84 × 111.92
  4. Step 4: Simplify right side
    121.38x = 20,351.53
  5. Step 5: Solve for x
    x = 20,351.53/121.38
  6. Step 6: Final answer
    x = 167.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.