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Finding the Fourth Proportional to 118.73, 178.01 and 82.19

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Solution

The fourth proportional to 118.73, 178.01 and 82.19 is: 123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.73 : 178.01 = 82.19 : x
  2. Step 2: Convert to fraction form
    118.73/178.01 = 82.19/x
  3. Step 3: Cross multiply
    118.73x = 178.01 × 82.19
  4. Step 4: Simplify right side
    118.73x = 14,630.98
  5. Step 5: Solve for x
    x = 14,630.98/118.73
  6. Step 6: Final answer
    x = 123.23

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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.