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Finding the Fourth Proportional to 85.09, 117.11 and 81.98

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Solution

The fourth proportional to 85.09, 117.11 and 81.98 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.09 : 117.11 = 81.98 : x
  2. Step 2: Convert to fraction form
    85.09/117.11 = 81.98/x
  3. Step 3: Cross multiply
    85.09x = 117.11 × 81.98
  4. Step 4: Simplify right side
    85.09x = 9,600.27
  5. Step 5: Solve for x
    x = 9,600.27/85.09
  6. Step 6: Final answer
    x = 112.83

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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.