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Finding the Fourth Proportional to 129.32, 194.12 and 83.52

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Solution

The fourth proportional to 129.32, 194.12 and 83.52 is: 125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.32 : 194.12 = 83.52 : x
  2. Step 2: Convert to fraction form
    129.32/194.12 = 83.52/x
  3. Step 3: Cross multiply
    129.32x = 194.12 × 83.52
  4. Step 4: Simplify right side
    129.32x = 16,212.90
  5. Step 5: Solve for x
    x = 16,212.90/129.32
  6. Step 6: Final answer
    x = 125.37

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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.