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Finding the Fourth Proportional to 85.41, 116.96 and 82.80

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Solution

The fourth proportional to 85.41, 116.96 and 82.80 is: 113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.41 : 116.96 = 82.80 : x
  2. Step 2: Convert to fraction form
    85.41/116.96 = 82.80/x
  3. Step 3: Cross multiply
    85.41x = 116.96 × 82.80
  4. Step 4: Simplify right side
    85.41x = 9,683.87
  5. Step 5: Solve for x
    x = 9,683.87/85.41
  6. Step 6: Final answer
    x = 113.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.