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Finding the Fourth Proportional to 120.96, 180.72 and 108

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Solution

The fourth proportional to 120.96, 180.72 and 108 is: 161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.96 : 180.72 = 108 : x
  2. Step 2: Convert to fraction form
    120.96/180.72 = 108/x
  3. Step 3: Cross multiply
    120.96x = 180.72 × 108
  4. Step 4: Simplify right side
    120.96x = 19,517.76
  5. Step 5: Solve for x
    x = 19,517.76/120.96
  6. Step 6: Final answer
    x = 161.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.