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Finding the Fourth Proportional to 96.85, 133.64 and 82.27

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Solution

The fourth proportional to 96.85, 133.64 and 82.27 is: 113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.85 : 133.64 = 82.27 : x
  2. Step 2: Convert to fraction form
    96.85/133.64 = 82.27/x
  3. Step 3: Cross multiply
    96.85x = 133.64 × 82.27
  4. Step 4: Simplify right side
    96.85x = 10,994.56
  5. Step 5: Solve for x
    x = 10,994.56/96.85
  6. Step 6: Final answer
    x = 113.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.