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Finding the Fourth Proportional to 120.82, 166.80 and 83.96

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Solution

The fourth proportional to 120.82, 166.80 and 83.96 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.82 : 166.80 = 83.96 : x
  2. Step 2: Convert to fraction form
    120.82/166.80 = 83.96/x
  3. Step 3: Cross multiply
    120.82x = 166.80 × 83.96
  4. Step 4: Simplify right side
    120.82x = 14,005.26
  5. Step 5: Solve for x
    x = 14,005.26/120.82
  6. Step 6: Final answer
    x = 115.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.