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Finding the Fourth Proportional to 129.20, 193.74 and 114.10

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Solution

The fourth proportional to 129.20, 193.74 and 114.10 is: 171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.20 : 193.74 = 114.10 : x
  2. Step 2: Convert to fraction form
    129.20/193.74 = 114.10/x
  3. Step 3: Cross multiply
    129.20x = 193.74 × 114.10
  4. Step 4: Simplify right side
    129.20x = 22,105.73
  5. Step 5: Solve for x
    x = 22,105.73/129.20
  6. Step 6: Final answer
    x = 171.10

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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.