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Finding the Fourth Proportional to 129.33, 193.05 and 113.13

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Solution

The fourth proportional to 129.33, 193.05 and 113.13 is: 168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.33 : 193.05 = 113.13 : x
  2. Step 2: Convert to fraction form
    129.33/193.05 = 113.13/x
  3. Step 3: Cross multiply
    129.33x = 193.05 × 113.13
  4. Step 4: Simplify right side
    129.33x = 21,839.75
  5. Step 5: Solve for x
    x = 21,839.75/129.33
  6. Step 6: Final answer
    x = 168.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.