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Finding the Fourth Proportional to 129.52, 178.68 and 77.76

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Solution

The fourth proportional to 129.52, 178.68 and 77.76 is: 107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.52 : 178.68 = 77.76 : x
  2. Step 2: Convert to fraction form
    129.52/178.68 = 77.76/x
  3. Step 3: Cross multiply
    129.52x = 178.68 × 77.76
  4. Step 4: Simplify right side
    129.52x = 13,894.16
  5. Step 5: Solve for x
    x = 13,894.16/129.52
  6. Step 6: Final answer
    x = 107.27

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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.