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Finding the Fourth Proportional to 180.87, 271.35 and 59.13

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Solution

The fourth proportional to 180.87, 271.35 and 59.13 is: 88.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.87 : 271.35 = 59.13 : x
  2. Step 2: Convert to fraction form
    180.87/271.35 = 59.13/x
  3. Step 3: Cross multiply
    180.87x = 271.35 × 59.13
  4. Step 4: Simplify right side
    180.87x = 16,045.61
  5. Step 5: Solve for x
    x = 16,045.61/180.87
  6. Step 6: Final answer
    x = 88.71

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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.