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Finding the Fourth Proportional to 129.54, 194.24 and 93.44

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Solution

The fourth proportional to 129.54, 194.24 and 93.44 is: 140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.54 : 194.24 = 93.44 : x
  2. Step 2: Convert to fraction form
    129.54/194.24 = 93.44/x
  3. Step 3: Cross multiply
    129.54x = 194.24 × 93.44
  4. Step 4: Simplify right side
    129.54x = 18,149.79
  5. Step 5: Solve for x
    x = 18,149.79/129.54
  6. Step 6: Final answer
    x = 140.11

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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.