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Finding the Fourth Proportional to 131.92, 196.90 and 113.52

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Solution

The fourth proportional to 131.92, 196.90 and 113.52 is: 169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.92 : 196.90 = 113.52 : x
  2. Step 2: Convert to fraction form
    131.92/196.90 = 113.52/x
  3. Step 3: Cross multiply
    131.92x = 196.90 × 113.52
  4. Step 4: Simplify right side
    131.92x = 22,352.09
  5. Step 5: Solve for x
    x = 22,352.09/131.92
  6. Step 6: Final answer
    x = 169.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.