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Finding the Fourth Proportional to 85.20, 118.20 and 81.60

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Solution

The fourth proportional to 85.20, 118.20 and 81.60 is: 113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.20 : 118.20 = 81.60 : x
  2. Step 2: Convert to fraction form
    85.20/118.20 = 81.60/x
  3. Step 3: Cross multiply
    85.20x = 118.20 × 81.60
  4. Step 4: Simplify right side
    85.20x = 9,645.12
  5. Step 5: Solve for x
    x = 9,645.12/85.20
  6. Step 6: Final answer
    x = 113.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.