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Finding the Fourth Proportional to 120.82, 180.96 and 108.68

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Solution

The fourth proportional to 120.82, 180.96 and 108.68 is: 162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.82 : 180.96 = 108.68 : x
  2. Step 2: Convert to fraction form
    120.82/180.96 = 108.68/x
  3. Step 3: Cross multiply
    120.82x = 180.96 × 108.68
  4. Step 4: Simplify right side
    120.82x = 19,666.73
  5. Step 5: Solve for x
    x = 19,666.73/120.82
  6. Step 6: Final answer
    x = 162.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.