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Finding the Fourth Proportional to 81.96, 113.10 and 45.11

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Solution

The fourth proportional to 81.96, 113.10 and 45.11 is: 62.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.96 : 113.10 = 45.11 : x
  2. Step 2: Convert to fraction form
    81.96/113.10 = 45.11/x
  3. Step 3: Cross multiply
    81.96x = 113.10 × 45.11
  4. Step 4: Simplify right side
    81.96x = 5,102.05
  5. Step 5: Solve for x
    x = 5,102.05/81.96
  6. Step 6: Final answer
    x = 62.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.