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Finding the Fourth Proportional to 120.21, 166.17 and 110.66

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Solution

The fourth proportional to 120.21, 166.17 and 110.66 is: 152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.21 : 166.17 = 110.66 : x
  2. Step 2: Convert to fraction form
    120.21/166.17 = 110.66/x
  3. Step 3: Cross multiply
    120.21x = 166.17 × 110.66
  4. Step 4: Simplify right side
    120.21x = 18,387.54
  5. Step 5: Solve for x
    x = 18,387.54/120.21
  6. Step 6: Final answer
    x = 152.96

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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.