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Finding the Fourth Proportional to 129.59, 194.22 and 75.38

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Solution

The fourth proportional to 129.59, 194.22 and 75.38 is: 112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.59 : 194.22 = 75.38 : x
  2. Step 2: Convert to fraction form
    129.59/194.22 = 75.38/x
  3. Step 3: Cross multiply
    129.59x = 194.22 × 75.38
  4. Step 4: Simplify right side
    129.59x = 14,640.30
  5. Step 5: Solve for x
    x = 14,640.30/129.59
  6. Step 6: Final answer
    x = 112.97

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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.