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Finding the Fourth Proportional to 132.71, 183.11 and 89.06

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Solution

The fourth proportional to 132.71, 183.11 and 89.06 is: 122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.71 : 183.11 = 89.06 : x
  2. Step 2: Convert to fraction form
    132.71/183.11 = 89.06/x
  3. Step 3: Cross multiply
    132.71x = 183.11 × 89.06
  4. Step 4: Simplify right side
    132.71x = 16,306.42
  5. Step 5: Solve for x
    x = 16,306.42/132.71
  6. Step 6: Final answer
    x = 122.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.