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Finding the Fourth Proportional to 120.20, 180.33 and 74.48

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Solution

The fourth proportional to 120.20, 180.33 and 74.48 is: 111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.20 : 180.33 = 74.48 : x
  2. Step 2: Convert to fraction form
    120.20/180.33 = 74.48/x
  3. Step 3: Cross multiply
    120.20x = 180.33 × 74.48
  4. Step 4: Simplify right side
    120.20x = 13,430.08
  5. Step 5: Solve for x
    x = 13,430.08/120.20
  6. Step 6: Final answer
    x = 111.74

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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.