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Finding the Fourth Proportional to 63.65, 95.47 and 33.23

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Solution

The fourth proportional to 63.65, 95.47 and 33.23 is: 49.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.65 : 95.47 = 33.23 : x
  2. Step 2: Convert to fraction form
    63.65/95.47 = 33.23/x
  3. Step 3: Cross multiply
    63.65x = 95.47 × 33.23
  4. Step 4: Simplify right side
    63.65x = 3,172.62
  5. Step 5: Solve for x
    x = 3,172.62/63.65
  6. Step 6: Final answer
    x = 49.85

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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.