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Finding the Fourth Proportional to 180.80, 271.12 and 83.27

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Solution

The fourth proportional to 180.80, 271.12 and 83.27 is: 124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.80 : 271.12 = 83.27 : x
  2. Step 2: Convert to fraction form
    180.80/271.12 = 83.27/x
  3. Step 3: Cross multiply
    180.80x = 271.12 × 83.27
  4. Step 4: Simplify right side
    180.80x = 22,576.16
  5. Step 5: Solve for x
    x = 22,576.16/180.80
  6. Step 6: Final answer
    x = 124.87

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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.