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Finding the Fourth Proportional to 129.29, 193.84 and 52.27

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Solution

The fourth proportional to 129.29, 193.84 and 52.27 is: 78.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.29 : 193.84 = 52.27 : x
  2. Step 2: Convert to fraction form
    129.29/193.84 = 52.27/x
  3. Step 3: Cross multiply
    129.29x = 193.84 × 52.27
  4. Step 4: Simplify right side
    129.29x = 10,132.02
  5. Step 5: Solve for x
    x = 10,132.02/129.29
  6. Step 6: Final answer
    x = 78.37

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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.