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Finding the Fourth Proportional to 120.54, 180.77 and 33.85

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Solution

The fourth proportional to 120.54, 180.77 and 33.85 is: 50.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.54 : 180.77 = 33.85 : x
  2. Step 2: Convert to fraction form
    120.54/180.77 = 33.85/x
  3. Step 3: Cross multiply
    120.54x = 180.77 × 33.85
  4. Step 4: Simplify right side
    120.54x = 6,118.16
  5. Step 5: Solve for x
    x = 6,118.16/120.54
  6. Step 6: Final answer
    x = 50.76

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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.