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Finding the Fourth Proportional to 81.56, 110.99 and 81.15

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Solution

The fourth proportional to 81.56, 110.99 and 81.15 is: 110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.56 : 110.99 = 81.15 : x
  2. Step 2: Convert to fraction form
    81.56/110.99 = 81.15/x
  3. Step 3: Cross multiply
    81.56x = 110.99 × 81.15
  4. Step 4: Simplify right side
    81.56x = 9,006.43
  5. Step 5: Solve for x
    x = 9,006.43/81.56
  6. Step 6: Final answer
    x = 110.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.