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Finding the Fourth Proportional to 129.61, 178.92 and 85.96

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Solution

The fourth proportional to 129.61, 178.92 and 85.96 is: 118.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.61 : 178.92 = 85.96 : x
  2. Step 2: Convert to fraction form
    129.61/178.92 = 85.96/x
  3. Step 3: Cross multiply
    129.61x = 178.92 × 85.96
  4. Step 4: Simplify right side
    129.61x = 15,379.96
  5. Step 5: Solve for x
    x = 15,379.96/129.61
  6. Step 6: Final answer
    x = 118.66

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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.