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Finding the Fourth Proportional to 180.97, 271.42 and 59.22

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Solution

The fourth proportional to 180.97, 271.42 and 59.22 is: 88.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.97 : 271.42 = 59.22 : x
  2. Step 2: Convert to fraction form
    180.97/271.42 = 59.22/x
  3. Step 3: Cross multiply
    180.97x = 271.42 × 59.22
  4. Step 4: Simplify right side
    180.97x = 16,073.49
  5. Step 5: Solve for x
    x = 16,073.49/180.97
  6. Step 6: Final answer
    x = 88.82

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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.