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Finding the Fourth Proportional to 129, 178.06 and 77.24

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Solution

The fourth proportional to 129, 178.06 and 77.24 is: 106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129 : 178.06 = 77.24 : x
  2. Step 2: Convert to fraction form
    129/178.06 = 77.24/x
  3. Step 3: Cross multiply
    129x = 178.06 × 77.24
  4. Step 4: Simplify right side
    129x = 13,753.35
  5. Step 5: Solve for x
    x = 13,753.35/129
  6. Step 6: Final answer
    x = 106.62

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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.