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Finding the Fourth Proportional to 82.11, 112.34 and 80.70

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Solution

The fourth proportional to 82.11, 112.34 and 80.70 is: 110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.11 : 112.34 = 80.70 : x
  2. Step 2: Convert to fraction form
    82.11/112.34 = 80.70/x
  3. Step 3: Cross multiply
    82.11x = 112.34 × 80.70
  4. Step 4: Simplify right side
    82.11x = 9,065.43
  5. Step 5: Solve for x
    x = 9,065.43/82.11
  6. Step 6: Final answer
    x = 110.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.