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Finding the Fourth Proportional to 85.82, 119 and 81.14

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Solution

The fourth proportional to 85.82, 119 and 81.14 is: 112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.82 : 119 = 81.14 : x
  2. Step 2: Convert to fraction form
    85.82/119 = 81.14/x
  3. Step 3: Cross multiply
    85.82x = 119 × 81.14
  4. Step 4: Simplify right side
    85.82x = 9,655.66
  5. Step 5: Solve for x
    x = 9,655.66/85.82
  6. Step 6: Final answer
    x = 112.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.