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Finding the Fourth Proportional to 129.27, 178.44 and 82.71

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Solution

The fourth proportional to 129.27, 178.44 and 82.71 is: 114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.27 : 178.44 = 82.71 : x
  2. Step 2: Convert to fraction form
    129.27/178.44 = 82.71/x
  3. Step 3: Cross multiply
    129.27x = 178.44 × 82.71
  4. Step 4: Simplify right side
    129.27x = 14,758.96
  5. Step 5: Solve for x
    x = 14,758.96/129.27
  6. Step 6: Final answer
    x = 114.17

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Why These Related Problems?

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