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Finding the Fourth Proportional to 31.29, 46.92 and 9.91

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Solution

The fourth proportional to 31.29, 46.92 and 9.91 is: 14.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.29 : 46.92 = 9.91 : x
  2. Step 2: Convert to fraction form
    31.29/46.92 = 9.91/x
  3. Step 3: Cross multiply
    31.29x = 46.92 × 9.91
  4. Step 4: Simplify right side
    31.29x = 464.98
  5. Step 5: Solve for x
    x = 464.98/31.29
  6. Step 6: Final answer
    x = 14.86

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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.