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Finding the Fourth Proportional to 120.92, 180.96 and 105.76

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Solution

The fourth proportional to 120.92, 180.96 and 105.76 is: 158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.92 : 180.96 = 105.76 : x
  2. Step 2: Convert to fraction form
    120.92/180.96 = 105.76/x
  3. Step 3: Cross multiply
    120.92x = 180.96 × 105.76
  4. Step 4: Simplify right side
    120.92x = 19,138.33
  5. Step 5: Solve for x
    x = 19,138.33/120.92
  6. Step 6: Final answer
    x = 158.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.