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Finding the Fourth Proportional to 129.52, 194.19 and 93.43

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Solution

The fourth proportional to 129.52, 194.19 and 93.43 is: 140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.52 : 194.19 = 93.43 : x
  2. Step 2: Convert to fraction form
    129.52/194.19 = 93.43/x
  3. Step 3: Cross multiply
    129.52x = 194.19 × 93.43
  4. Step 4: Simplify right side
    129.52x = 18,143.17
  5. Step 5: Solve for x
    x = 18,143.17/129.52
  6. Step 6: Final answer
    x = 140.08

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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.