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Finding the Fourth Proportional to 63.82, 95.71 and 31.33

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Solution

The fourth proportional to 63.82, 95.71 and 31.33 is: 46.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.82 : 95.71 = 31.33 : x
  2. Step 2: Convert to fraction form
    63.82/95.71 = 31.33/x
  3. Step 3: Cross multiply
    63.82x = 95.71 × 31.33
  4. Step 4: Simplify right side
    63.82x = 2,998.07
  5. Step 5: Solve for x
    x = 2,998.07/63.82
  6. Step 6: Final answer
    x = 46.97

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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.