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Finding the Fourth Proportional to 80.54, 111.07 and 69.62

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Solution

The fourth proportional to 80.54, 111.07 and 69.62 is: 96.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.54 : 111.07 = 69.62 : x
  2. Step 2: Convert to fraction form
    80.54/111.07 = 69.62/x
  3. Step 3: Cross multiply
    80.54x = 111.07 × 69.62
  4. Step 4: Simplify right side
    80.54x = 7,732.69
  5. Step 5: Solve for x
    x = 7,732.69/80.54
  6. Step 6: Final answer
    x = 96.01

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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.