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Finding the Fourth Proportional to 120.20, 180.36 and 112.04

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Solution

The fourth proportional to 120.20, 180.36 and 112.04 is: 168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.20 : 180.36 = 112.04 : x
  2. Step 2: Convert to fraction form
    120.20/180.36 = 112.04/x
  3. Step 3: Cross multiply
    120.20x = 180.36 × 112.04
  4. Step 4: Simplify right side
    120.20x = 20,207.53
  5. Step 5: Solve for x
    x = 20,207.53/120.20
  6. Step 6: Final answer
    x = 168.12

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