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Finding the Fourth Proportional to 120.54, 166.02 and 81.66

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Solution

The fourth proportional to 120.54, 166.02 and 81.66 is: 112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.54 : 166.02 = 81.66 : x
  2. Step 2: Convert to fraction form
    120.54/166.02 = 81.66/x
  3. Step 3: Cross multiply
    120.54x = 166.02 × 81.66
  4. Step 4: Simplify right side
    120.54x = 13,557.19
  5. Step 5: Solve for x
    x = 13,557.19/120.54
  6. Step 6: Final answer
    x = 112.47

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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.