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Finding the Fourth Proportional to 129.66, 178.88 and 74.38

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Solution

The fourth proportional to 129.66, 178.88 and 74.38 is: 102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.66 : 178.88 = 74.38 : x
  2. Step 2: Convert to fraction form
    129.66/178.88 = 74.38/x
  3. Step 3: Cross multiply
    129.66x = 178.88 × 74.38
  4. Step 4: Simplify right side
    129.66x = 13,304.61
  5. Step 5: Solve for x
    x = 13,304.61/129.66
  6. Step 6: Final answer
    x = 102.61

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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.