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Finding the Fourth Proportional to 104.48, 144.05 and 82.31

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Solution

The fourth proportional to 104.48, 144.05 and 82.31 is: 113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.48 : 144.05 = 82.31 : x
  2. Step 2: Convert to fraction form
    104.48/144.05 = 82.31/x
  3. Step 3: Cross multiply
    104.48x = 144.05 × 82.31
  4. Step 4: Simplify right side
    104.48x = 11,856.76
  5. Step 5: Solve for x
    x = 11,856.76/104.48
  6. Step 6: Final answer
    x = 113.48

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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.