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Finding the Fourth Proportional to 104.31, 144 and 82.73

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Solution

The fourth proportional to 104.31, 144 and 82.73 is: 114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.31 : 144 = 82.73 : x
  2. Step 2: Convert to fraction form
    104.31/144 = 82.73/x
  3. Step 3: Cross multiply
    104.31x = 144 × 82.73
  4. Step 4: Simplify right side
    104.31x = 11,912.40
  5. Step 5: Solve for x
    x = 11,912.40/104.31
  6. Step 6: Final answer
    x = 114.20

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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.