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Finding the Fourth Proportional to 168.61, 232.71 and 129.21

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Solution

The fourth proportional to 168.61, 232.71 and 129.21 is: 178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.61 : 232.71 = 129.21 : x
  2. Step 2: Convert to fraction form
    168.61/232.71 = 129.21/x
  3. Step 3: Cross multiply
    168.61x = 232.71 × 129.21
  4. Step 4: Simplify right side
    168.61x = 30,068.46
  5. Step 5: Solve for x
    x = 30,068.46/168.61
  6. Step 6: Final answer
    x = 178.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.