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Finding the Fourth Proportional to 120.96, 166.84 and 82.12

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Solution

The fourth proportional to 120.96, 166.84 and 82.12 is: 113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.96 : 166.84 = 82.12 : x
  2. Step 2: Convert to fraction form
    120.96/166.84 = 82.12/x
  3. Step 3: Cross multiply
    120.96x = 166.84 × 82.12
  4. Step 4: Simplify right side
    120.96x = 13,700.90
  5. Step 5: Solve for x
    x = 13,700.90/120.96
  6. Step 6: Final answer
    x = 113.27

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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.