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Finding the Fourth Proportional to 123.73, 170.78 and 82.25

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Solution

The fourth proportional to 123.73, 170.78 and 82.25 is: 113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.73 : 170.78 = 82.25 : x
  2. Step 2: Convert to fraction form
    123.73/170.78 = 82.25/x
  3. Step 3: Cross multiply
    123.73x = 170.78 × 82.25
  4. Step 4: Simplify right side
    123.73x = 14,046.03
  5. Step 5: Solve for x
    x = 14,046.03/123.73
  6. Step 6: Final answer
    x = 113.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.