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Finding the Fourth Proportional to 142.92, 213.84 and 111.96

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Solution

The fourth proportional to 142.92, 213.84 and 111.96 is: 167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.92 : 213.84 = 111.96 : x
  2. Step 2: Convert to fraction form
    142.92/213.84 = 111.96/x
  3. Step 3: Cross multiply
    142.92x = 213.84 × 111.96
  4. Step 4: Simplify right side
    142.92x = 23,941.53
  5. Step 5: Solve for x
    x = 23,941.53/142.92
  6. Step 6: Final answer
    x = 167.52

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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.