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Finding the Fourth Proportional to 120.42, 166.27 and 73.86

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Solution

The fourth proportional to 120.42, 166.27 and 73.86 is: 101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.42 : 166.27 = 73.86 : x
  2. Step 2: Convert to fraction form
    120.42/166.27 = 73.86/x
  3. Step 3: Cross multiply
    120.42x = 166.27 × 73.86
  4. Step 4: Simplify right side
    120.42x = 12,279.59
  5. Step 5: Solve for x
    x = 12,279.59/120.42
  6. Step 6: Final answer
    x = 101.97

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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.