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Finding the Fourth Proportional to 120.24, 180.41 and 51.78

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Solution

The fourth proportional to 120.24, 180.41 and 51.78 is: 77.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 180.41 = 51.78 : x
  2. Step 2: Convert to fraction form
    120.24/180.41 = 51.78/x
  3. Step 3: Cross multiply
    120.24x = 180.41 × 51.78
  4. Step 4: Simplify right side
    120.24x = 9,341.37
  5. Step 5: Solve for x
    x = 9,341.37/120.24
  6. Step 6: Final answer
    x = 77.69

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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.