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Finding the Fourth Proportional to 31.36, 46.96 and 19.92

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Solution

The fourth proportional to 31.36, 46.96 and 19.92 is: 29.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.36 : 46.96 = 19.92 : x
  2. Step 2: Convert to fraction form
    31.36/46.96 = 19.92/x
  3. Step 3: Cross multiply
    31.36x = 46.96 × 19.92
  4. Step 4: Simplify right side
    31.36x = 935.44
  5. Step 5: Solve for x
    x = 935.44/31.36
  6. Step 6: Final answer
    x = 29.83

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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.