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Finding the Fourth Proportional to 129.11, 177.96 and 87.65

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Solution

The fourth proportional to 129.11, 177.96 and 87.65 is: 120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.11 : 177.96 = 87.65 : x
  2. Step 2: Convert to fraction form
    129.11/177.96 = 87.65/x
  3. Step 3: Cross multiply
    129.11x = 177.96 × 87.65
  4. Step 4: Simplify right side
    129.11x = 15,597.30
  5. Step 5: Solve for x
    x = 15,597.30/129.11
  6. Step 6: Final answer
    x = 120.81

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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.