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Finding the Fourth Proportional to 120.71, 166.22 and 91.25

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Solution

The fourth proportional to 120.71, 166.22 and 91.25 is: 125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.71 : 166.22 = 91.25 : x
  2. Step 2: Convert to fraction form
    120.71/166.22 = 91.25/x
  3. Step 3: Cross multiply
    120.71x = 166.22 × 91.25
  4. Step 4: Simplify right side
    120.71x = 15,167.53
  5. Step 5: Solve for x
    x = 15,167.53/120.71
  6. Step 6: Final answer
    x = 125.65

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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.