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Finding the Fourth Proportional to 132.05, 182.17 and 88.40

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Solution

The fourth proportional to 132.05, 182.17 and 88.40 is: 121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.05 : 182.17 = 88.40 : x
  2. Step 2: Convert to fraction form
    132.05/182.17 = 88.40/x
  3. Step 3: Cross multiply
    132.05x = 182.17 × 88.40
  4. Step 4: Simplify right side
    132.05x = 16,104.30
  5. Step 5: Solve for x
    x = 16,104.30/132.05
  6. Step 6: Final answer
    x = 121.96

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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.