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Finding the Fourth Proportional to 131.66, 196.97 and 113.82

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Solution

The fourth proportional to 131.66, 196.97 and 113.82 is: 170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.66 : 196.97 = 113.82 : x
  2. Step 2: Convert to fraction form
    131.66/196.97 = 113.82/x
  3. Step 3: Cross multiply
    131.66x = 196.97 × 113.82
  4. Step 4: Simplify right side
    131.66x = 22,419.13
  5. Step 5: Solve for x
    x = 22,419.13/131.66
  6. Step 6: Final answer
    x = 170.28

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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.