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Finding the Fourth Proportional to 180.67, 271.13 and 83.17

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Solution

The fourth proportional to 180.67, 271.13 and 83.17 is: 124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.67 : 271.13 = 83.17 : x
  2. Step 2: Convert to fraction form
    180.67/271.13 = 83.17/x
  3. Step 3: Cross multiply
    180.67x = 271.13 × 83.17
  4. Step 4: Simplify right side
    180.67x = 22,549.88
  5. Step 5: Solve for x
    x = 22,549.88/180.67
  6. Step 6: Final answer
    x = 124.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.