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Finding the Fourth Proportional to 120.57, 180.41 and 71.85

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Solution

The fourth proportional to 120.57, 180.41 and 71.85 is: 107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.57 : 180.41 = 71.85 : x
  2. Step 2: Convert to fraction form
    120.57/180.41 = 71.85/x
  3. Step 3: Cross multiply
    120.57x = 180.41 × 71.85
  4. Step 4: Simplify right side
    120.57x = 12,962.64
  5. Step 5: Solve for x
    x = 12,962.64/120.57
  6. Step 6: Final answer
    x = 107.51

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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.