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Finding the Fourth Proportional to 129.53, 178.71 and 74.24

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Solution

The fourth proportional to 129.53, 178.71 and 74.24 is: 102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.53 : 178.71 = 74.24 : x
  2. Step 2: Convert to fraction form
    129.53/178.71 = 74.24/x
  3. Step 3: Cross multiply
    129.53x = 178.71 × 74.24
  4. Step 4: Simplify right side
    129.53x = 13,267.88
  5. Step 5: Solve for x
    x = 13,267.88/129.53
  6. Step 6: Final answer
    x = 102.43

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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.