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Finding the Fourth Proportional to 80.85, 121.20 and 35.18

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Solution

The fourth proportional to 80.85, 121.20 and 35.18 is: 52.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.85 : 121.20 = 35.18 : x
  2. Step 2: Convert to fraction form
    80.85/121.20 = 35.18/x
  3. Step 3: Cross multiply
    80.85x = 121.20 × 35.18
  4. Step 4: Simplify right side
    80.85x = 4,264.21
  5. Step 5: Solve for x
    x = 4,264.21/80.85
  6. Step 6: Final answer
    x = 52.74

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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.