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Finding the Fourth Proportional to 129.90, 179.24 and 78.15

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Solution

The fourth proportional to 129.90, 179.24 and 78.15 is: 107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.90 : 179.24 = 78.15 : x
  2. Step 2: Convert to fraction form
    129.90/179.24 = 78.15/x
  3. Step 3: Cross multiply
    129.90x = 179.24 × 78.15
  4. Step 4: Simplify right side
    129.90x = 14,006.71
  5. Step 5: Solve for x
    x = 14,006.71/129.90
  6. Step 6: Final answer
    x = 107.83

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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.