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Finding the Fourth Proportional to 129.62, 178.69 and 86.02

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Solution

The fourth proportional to 129.62, 178.69 and 86.02 is: 118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.62 : 178.69 = 86.02 : x
  2. Step 2: Convert to fraction form
    129.62/178.69 = 86.02/x
  3. Step 3: Cross multiply
    129.62x = 178.69 × 86.02
  4. Step 4: Simplify right side
    129.62x = 15,370.91
  5. Step 5: Solve for x
    x = 15,370.91/129.62
  6. Step 6: Final answer
    x = 118.58

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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.