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Finding the Fourth Proportional to 129.18, 193.82 and 68.37

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Solution

The fourth proportional to 129.18, 193.82 and 68.37 is: 102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.18 : 193.82 = 68.37 : x
  2. Step 2: Convert to fraction form
    129.18/193.82 = 68.37/x
  3. Step 3: Cross multiply
    129.18x = 193.82 × 68.37
  4. Step 4: Simplify right side
    129.18x = 13,251.47
  5. Step 5: Solve for x
    x = 13,251.47/129.18
  6. Step 6: Final answer
    x = 102.58

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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.