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Finding the Fourth Proportional to 104.73, 143.94 and 83.97

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Solution

The fourth proportional to 104.73, 143.94 and 83.97 is: 115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.73 : 143.94 = 83.97 : x
  2. Step 2: Convert to fraction form
    104.73/143.94 = 83.97/x
  3. Step 3: Cross multiply
    104.73x = 143.94 × 83.97
  4. Step 4: Simplify right side
    104.73x = 12,086.96
  5. Step 5: Solve for x
    x = 12,086.96/104.73
  6. Step 6: Final answer
    x = 115.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.