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Finding the Fourth Proportional to 129.87, 179.16 and 77.40

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Solution

The fourth proportional to 129.87, 179.16 and 77.40 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.87 : 179.16 = 77.40 : x
  2. Step 2: Convert to fraction form
    129.87/179.16 = 77.40/x
  3. Step 3: Cross multiply
    129.87x = 179.16 × 77.40
  4. Step 4: Simplify right side
    129.87x = 13,866.98
  5. Step 5: Solve for x
    x = 13,866.98/129.87
  6. Step 6: Final answer
    x = 106.78

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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.