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Finding the Fourth Proportional to 82.12, 113.82 and 80.82

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Solution

The fourth proportional to 82.12, 113.82 and 80.82 is: 112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.12 : 113.82 = 80.82 : x
  2. Step 2: Convert to fraction form
    82.12/113.82 = 80.82/x
  3. Step 3: Cross multiply
    82.12x = 113.82 × 80.82
  4. Step 4: Simplify right side
    82.12x = 9,198.93
  5. Step 5: Solve for x
    x = 9,198.93/82.12
  6. Step 6: Final answer
    x = 112.02

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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.