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Finding the Fourth Proportional to 80.68, 111.22 and 59.98

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Solution

The fourth proportional to 80.68, 111.22 and 59.98 is: 82.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.68 : 111.22 = 59.98 : x
  2. Step 2: Convert to fraction form
    80.68/111.22 = 59.98/x
  3. Step 3: Cross multiply
    80.68x = 111.22 × 59.98
  4. Step 4: Simplify right side
    80.68x = 6,670.98
  5. Step 5: Solve for x
    x = 6,670.98/80.68
  6. Step 6: Final answer
    x = 82.68

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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.