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Finding the Fourth Proportional to 132.70, 183.10 and 80.24

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Solution

The fourth proportional to 132.70, 183.10 and 80.24 is: 110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.70 : 183.10 = 80.24 : x
  2. Step 2: Convert to fraction form
    132.70/183.10 = 80.24/x
  3. Step 3: Cross multiply
    132.70x = 183.10 × 80.24
  4. Step 4: Simplify right side
    132.70x = 14,691.94
  5. Step 5: Solve for x
    x = 14,691.94/132.70
  6. Step 6: Final answer
    x = 110.72

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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.