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Finding the Fourth Proportional to 96.80, 133.49 and 59.96

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Solution

The fourth proportional to 96.80, 133.49 and 59.96 is: 82.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.80 : 133.49 = 59.96 : x
  2. Step 2: Convert to fraction form
    96.80/133.49 = 59.96/x
  3. Step 3: Cross multiply
    96.80x = 133.49 × 59.96
  4. Step 4: Simplify right side
    96.80x = 8,004.54
  5. Step 5: Solve for x
    x = 8,004.54/96.80
  6. Step 6: Final answer
    x = 82.70

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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.