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Finding the Fourth Proportional to 80.58, 111.42 and 74.46

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Solution

The fourth proportional to 80.58, 111.42 and 74.46 is: 102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.58 : 111.42 = 74.46 : x
  2. Step 2: Convert to fraction form
    80.58/111.42 = 74.46/x
  3. Step 3: Cross multiply
    80.58x = 111.42 × 74.46
  4. Step 4: Simplify right side
    80.58x = 8,296.33
  5. Step 5: Solve for x
    x = 8,296.33/80.58
  6. Step 6: Final answer
    x = 102.96

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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.