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Finding the Fourth Proportional to 120.57, 180.84 and 75.18

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Solution

The fourth proportional to 120.57, 180.84 and 75.18 is: 112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.57 : 180.84 = 75.18 : x
  2. Step 2: Convert to fraction form
    120.57/180.84 = 75.18/x
  3. Step 3: Cross multiply
    120.57x = 180.84 × 75.18
  4. Step 4: Simplify right side
    120.57x = 13,595.55
  5. Step 5: Solve for x
    x = 13,595.55/120.57
  6. Step 6: Final answer
    x = 112.76

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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.