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Finding the Fourth Proportional to 81.97, 112.80 and 81.46

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Solution

The fourth proportional to 81.97, 112.80 and 81.46 is: 112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.97 : 112.80 = 81.46 : x
  2. Step 2: Convert to fraction form
    81.97/112.80 = 81.46/x
  3. Step 3: Cross multiply
    81.97x = 112.80 × 81.46
  4. Step 4: Simplify right side
    81.97x = 9,189.05
  5. Step 5: Solve for x
    x = 9,189.05/81.97
  6. Step 6: Final answer
    x = 112.10

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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.