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Finding the Fourth Proportional to 131.43, 196.17 and 116.05

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Solution

The fourth proportional to 131.43, 196.17 and 116.05 is: 173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.43 : 196.17 = 116.05 : x
  2. Step 2: Convert to fraction form
    131.43/196.17 = 116.05/x
  3. Step 3: Cross multiply
    131.43x = 196.17 × 116.05
  4. Step 4: Simplify right side
    131.43x = 22,765.53
  5. Step 5: Solve for x
    x = 22,765.53/131.43
  6. Step 6: Final answer
    x = 173.21

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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.