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Finding the Fourth Proportional to 129.29, 194.07 and 81.30

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Solution

The fourth proportional to 129.29, 194.07 and 81.30 is: 122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.29 : 194.07 = 81.30 : x
  2. Step 2: Convert to fraction form
    129.29/194.07 = 81.30/x
  3. Step 3: Cross multiply
    129.29x = 194.07 × 81.30
  4. Step 4: Simplify right side
    129.29x = 15,777.89
  5. Step 5: Solve for x
    x = 15,777.89/129.29
  6. Step 6: Final answer
    x = 122.04

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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.