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Finding the Fourth Proportional to 80.85, 111.56 and 48.11

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Solution

The fourth proportional to 80.85, 111.56 and 48.11 is: 66.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.85 : 111.56 = 48.11 : x
  2. Step 2: Convert to fraction form
    80.85/111.56 = 48.11/x
  3. Step 3: Cross multiply
    80.85x = 111.56 × 48.11
  4. Step 4: Simplify right side
    80.85x = 5,366.35
  5. Step 5: Solve for x
    x = 5,366.35/80.85
  6. Step 6: Final answer
    x = 66.37

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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.