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Finding the Fourth Proportional to 129.53, 178.75 and 77.14

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Solution

The fourth proportional to 129.53, 178.75 and 77.14 is: 106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.53 : 178.75 = 77.14 : x
  2. Step 2: Convert to fraction form
    129.53/178.75 = 77.14/x
  3. Step 3: Cross multiply
    129.53x = 178.75 × 77.14
  4. Step 4: Simplify right side
    129.53x = 13,787.66
  5. Step 5: Solve for x
    x = 13,787.66/129.53
  6. Step 6: Final answer
    x = 106.44

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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.