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Finding the Fourth Proportional to 129.20, 193.67 and 60.68

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Solution

The fourth proportional to 129.20, 193.67 and 60.68 is: 90.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.20 : 193.67 = 60.68 : x
  2. Step 2: Convert to fraction form
    129.20/193.67 = 60.68/x
  3. Step 3: Cross multiply
    129.20x = 193.67 × 60.68
  4. Step 4: Simplify right side
    129.20x = 11,750.62
  5. Step 5: Solve for x
    x = 11,750.62/129.20
  6. Step 6: Final answer
    x = 90.95

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