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Finding the Fourth Proportional to 81.95, 112.29 and 80.19

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Solution

The fourth proportional to 81.95, 112.29 and 80.19 is: 109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.95 : 112.29 = 80.19 : x
  2. Step 2: Convert to fraction form
    81.95/112.29 = 80.19/x
  3. Step 3: Cross multiply
    81.95x = 112.29 × 80.19
  4. Step 4: Simplify right side
    81.95x = 9,004.23
  5. Step 5: Solve for x
    x = 9,004.23/81.95
  6. Step 6: Final answer
    x = 109.88

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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.