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Finding the Fourth Proportional to 120.24, 180.72 and 112.05

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Solution

The fourth proportional to 120.24, 180.72 and 112.05 is: 168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 180.72 = 112.05 : x
  2. Step 2: Convert to fraction form
    120.24/180.72 = 112.05/x
  3. Step 3: Cross multiply
    120.24x = 180.72 × 112.05
  4. Step 4: Simplify right side
    120.24x = 20,249.68
  5. Step 5: Solve for x
    x = 20,249.68/120.24
  6. Step 6: Final answer
    x = 168.41

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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.