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Finding the Fourth Proportional to 129.92, 195.02 and 72.14

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Solution

The fourth proportional to 129.92, 195.02 and 72.14 is: 108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.92 : 195.02 = 72.14 : x
  2. Step 2: Convert to fraction form
    129.92/195.02 = 72.14/x
  3. Step 3: Cross multiply
    129.92x = 195.02 × 72.14
  4. Step 4: Simplify right side
    129.92x = 14,068.74
  5. Step 5: Solve for x
    x = 14,068.74/129.92
  6. Step 6: Final answer
    x = 108.29

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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.