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Finding the Fourth Proportional to 129.47, 178.82 and 85.73

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Solution

The fourth proportional to 129.47, 178.82 and 85.73 is: 118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.47 : 178.82 = 85.73 : x
  2. Step 2: Convert to fraction form
    129.47/178.82 = 85.73/x
  3. Step 3: Cross multiply
    129.47x = 178.82 × 85.73
  4. Step 4: Simplify right side
    129.47x = 15,329.91
  5. Step 5: Solve for x
    x = 15,329.91/129.47
  6. Step 6: Final answer
    x = 118.41

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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.