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Finding the Fourth Proportional to 82.35, 114.21 and 81.27

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Solution

The fourth proportional to 82.35, 114.21 and 81.27 is: 112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.35 : 114.21 = 81.27 : x
  2. Step 2: Convert to fraction form
    82.35/114.21 = 81.27/x
  3. Step 3: Cross multiply
    82.35x = 114.21 × 81.27
  4. Step 4: Simplify right side
    82.35x = 9,281.85
  5. Step 5: Solve for x
    x = 9,281.85/82.35
  6. Step 6: Final answer
    x = 112.71

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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.