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Finding the Fourth Proportional to 96.82, 133.67 and 72.23

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Solution

The fourth proportional to 96.82, 133.67 and 72.23 is: 99.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.82 : 133.67 = 72.23 : x
  2. Step 2: Convert to fraction form
    96.82/133.67 = 72.23/x
  3. Step 3: Cross multiply
    96.82x = 133.67 × 72.23
  4. Step 4: Simplify right side
    96.82x = 9,654.98
  5. Step 5: Solve for x
    x = 9,654.98/96.82
  6. Step 6: Final answer
    x = 99.72

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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.