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Finding the Fourth Proportional to 63.82, 95.73 and 33.45

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Solution

The fourth proportional to 63.82, 95.73 and 33.45 is: 50.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.82 : 95.73 = 33.45 : x
  2. Step 2: Convert to fraction form
    63.82/95.73 = 33.45/x
  3. Step 3: Cross multiply
    63.82x = 95.73 × 33.45
  4. Step 4: Simplify right side
    63.82x = 3,202.17
  5. Step 5: Solve for x
    x = 3,202.17/63.82
  6. Step 6: Final answer
    x = 50.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.