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Finding the Fourth Proportional to 82.96, 113.46 and 81.80

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Solution

The fourth proportional to 82.96, 113.46 and 81.80 is: 111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.96 : 113.46 = 81.80 : x
  2. Step 2: Convert to fraction form
    82.96/113.46 = 81.80/x
  3. Step 3: Cross multiply
    82.96x = 113.46 × 81.80
  4. Step 4: Simplify right side
    82.96x = 9,281.03
  5. Step 5: Solve for x
    x = 9,281.03/82.96
  6. Step 6: Final answer
    x = 111.87

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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.