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Finding the Fourth Proportional to 84.09, 116.64 and 80.85

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Solution

The fourth proportional to 84.09, 116.64 and 80.85 is: 112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.09 : 116.64 = 80.85 : x
  2. Step 2: Convert to fraction form
    84.09/116.64 = 80.85/x
  3. Step 3: Cross multiply
    84.09x = 116.64 × 80.85
  4. Step 4: Simplify right side
    84.09x = 9,430.34
  5. Step 5: Solve for x
    x = 9,430.34/84.09
  6. Step 6: Final answer
    x = 112.15

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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.