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Finding the Fourth Proportional to 46.27, 63.82 and 30.73

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Solution

The fourth proportional to 46.27, 63.82 and 30.73 is: 42.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.27 : 63.82 = 30.73 : x
  2. Step 2: Convert to fraction form
    46.27/63.82 = 30.73/x
  3. Step 3: Cross multiply
    46.27x = 63.82 × 30.73
  4. Step 4: Simplify right side
    46.27x = 1,960.87
  5. Step 5: Solve for x
    x = 1,960.87/46.27
  6. Step 6: Final answer
    x = 42.38

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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.