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Finding the Fourth Proportional to 111.41, 166.47 and 80.42

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Solution

The fourth proportional to 111.41, 166.47 and 80.42 is: 120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.41 : 166.47 = 80.42 : x
  2. Step 2: Convert to fraction form
    111.41/166.47 = 80.42/x
  3. Step 3: Cross multiply
    111.41x = 166.47 × 80.42
  4. Step 4: Simplify right side
    111.41x = 13,387.12
  5. Step 5: Solve for x
    x = 13,387.12/111.41
  6. Step 6: Final answer
    x = 120.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.