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Finding the Fourth Proportional to 132.89, 199.31 and 67.92

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Solution

The fourth proportional to 132.89, 199.31 and 67.92 is: 101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.89 : 199.31 = 67.92 : x
  2. Step 2: Convert to fraction form
    132.89/199.31 = 67.92/x
  3. Step 3: Cross multiply
    132.89x = 199.31 × 67.92
  4. Step 4: Simplify right side
    132.89x = 13,536.80
  5. Step 5: Solve for x
    x = 13,536.80/132.89
  6. Step 6: Final answer
    x = 101.87

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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.