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Finding the Fourth Proportional to 129.48, 194.24 and 71.78

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Solution

The fourth proportional to 129.48, 194.24 and 71.78 is: 107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.48 : 194.24 = 71.78 : x
  2. Step 2: Convert to fraction form
    129.48/194.24 = 71.78/x
  3. Step 3: Cross multiply
    129.48x = 194.24 × 71.78
  4. Step 4: Simplify right side
    129.48x = 13,943.21
  5. Step 5: Solve for x
    x = 13,943.21/129.48
  6. Step 6: Final answer
    x = 107.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.