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Finding the Fourth Proportional to 81.98, 112.97 and 61.23

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Solution

The fourth proportional to 81.98, 112.97 and 61.23 is: 84.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.98 : 112.97 = 61.23 : x
  2. Step 2: Convert to fraction form
    81.98/112.97 = 61.23/x
  3. Step 3: Cross multiply
    81.98x = 112.97 × 61.23
  4. Step 4: Simplify right side
    81.98x = 6,917.31
  5. Step 5: Solve for x
    x = 6,917.31/81.98
  6. Step 6: Final answer
    x = 84.38

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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.