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Finding the Fourth Proportional to 130.92, 196.38 and 115.71

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Solution

The fourth proportional to 130.92, 196.38 and 115.71 is: 173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.92 : 196.38 = 115.71 : x
  2. Step 2: Convert to fraction form
    130.92/196.38 = 115.71/x
  3. Step 3: Cross multiply
    130.92x = 196.38 × 115.71
  4. Step 4: Simplify right side
    130.92x = 22,723.13
  5. Step 5: Solve for x
    x = 22,723.13/130.92
  6. Step 6: Final answer
    x = 173.57

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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.