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Finding the Fourth Proportional to 120.81, 166.44 and 92.74

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Solution

The fourth proportional to 120.81, 166.44 and 92.74 is: 127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.81 : 166.44 = 92.74 : x
  2. Step 2: Convert to fraction form
    120.81/166.44 = 92.74/x
  3. Step 3: Cross multiply
    120.81x = 166.44 × 92.74
  4. Step 4: Simplify right side
    120.81x = 15,435.85
  5. Step 5: Solve for x
    x = 15,435.85/120.81
  6. Step 6: Final answer
    x = 127.77

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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.