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Finding the Fourth Proportional to 81.26, 111.46 and 80.54

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Solution

The fourth proportional to 81.26, 111.46 and 80.54 is: 110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.26 : 111.46 = 80.54 : x
  2. Step 2: Convert to fraction form
    81.26/111.46 = 80.54/x
  3. Step 3: Cross multiply
    81.26x = 111.46 × 80.54
  4. Step 4: Simplify right side
    81.26x = 8,976.99
  5. Step 5: Solve for x
    x = 8,976.99/81.26
  6. Step 6: Final answer
    x = 110.47

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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.