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Finding the Fourth Proportional to 96.70, 133.32 and 82.12

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Solution

The fourth proportional to 96.70, 133.32 and 82.12 is: 113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.70 : 133.32 = 82.12 : x
  2. Step 2: Convert to fraction form
    96.70/133.32 = 82.12/x
  3. Step 3: Cross multiply
    96.70x = 133.32 × 82.12
  4. Step 4: Simplify right side
    96.70x = 10,948.24
  5. Step 5: Solve for x
    x = 10,948.24/96.70
  6. Step 6: Final answer
    x = 113.22

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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.