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Finding the Fourth Proportional to 129.41, 193.96 and 115.74

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Solution

The fourth proportional to 129.41, 193.96 and 115.74 is: 173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.41 : 193.96 = 115.74 : x
  2. Step 2: Convert to fraction form
    129.41/193.96 = 115.74/x
  3. Step 3: Cross multiply
    129.41x = 193.96 × 115.74
  4. Step 4: Simplify right side
    129.41x = 22,448.64
  5. Step 5: Solve for x
    x = 22,448.64/129.41
  6. Step 6: Final answer
    x = 173.48

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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.