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Finding the Fourth Proportional to 272.60, 408.85 and 77.62

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Solution

The fourth proportional to 272.60, 408.85 and 77.62 is: 116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.60 : 408.85 = 77.62 : x
  2. Step 2: Convert to fraction form
    272.60/408.85 = 77.62/x
  3. Step 3: Cross multiply
    272.60x = 408.85 × 77.62
  4. Step 4: Simplify right side
    272.60x = 31,734.94
  5. Step 5: Solve for x
    x = 31,734.94/272.60
  6. Step 6: Final answer
    x = 116.42

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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.