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Finding the Fourth Proportional to 80.80, 111.32 and 68.48

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Solution

The fourth proportional to 80.80, 111.32 and 68.48 is: 94.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.80 : 111.32 = 68.48 : x
  2. Step 2: Convert to fraction form
    80.80/111.32 = 68.48/x
  3. Step 3: Cross multiply
    80.80x = 111.32 × 68.48
  4. Step 4: Simplify right side
    80.80x = 7,623.19
  5. Step 5: Solve for x
    x = 7,623.19/80.80
  6. Step 6: Final answer
    x = 94.35

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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.