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Finding the Fourth Proportional to 111.92, 168.15 and 71.42

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Solution

The fourth proportional to 111.92, 168.15 and 71.42 is: 107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.92 : 168.15 = 71.42 : x
  2. Step 2: Convert to fraction form
    111.92/168.15 = 71.42/x
  3. Step 3: Cross multiply
    111.92x = 168.15 × 71.42
  4. Step 4: Simplify right side
    111.92x = 12,009.27
  5. Step 5: Solve for x
    x = 12,009.27/111.92
  6. Step 6: Final answer
    x = 107.30

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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.