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Finding the Fourth Proportional to 46.27, 63.82 and 29.66

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Solution

The fourth proportional to 46.27, 63.82 and 29.66 is: 40.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.27 : 63.82 = 29.66 : x
  2. Step 2: Convert to fraction form
    46.27/63.82 = 29.66/x
  3. Step 3: Cross multiply
    46.27x = 63.82 × 29.66
  4. Step 4: Simplify right side
    46.27x = 1,892.90
  5. Step 5: Solve for x
    x = 1,892.90/46.27
  6. Step 6: Final answer
    x = 40.91

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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.