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Finding the Fourth Proportional to 31, 46.49 and 21.96

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Solution

The fourth proportional to 31, 46.49 and 21.96 is: 32.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 46.49 = 21.96 : x
  2. Step 2: Convert to fraction form
    31/46.49 = 21.96/x
  3. Step 3: Cross multiply
    31x = 46.49 × 21.96
  4. Step 4: Simplify right side
    31x = 1,020.92
  5. Step 5: Solve for x
    x = 1,020.92/31
  6. Step 6: Final answer
    x = 32.93

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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.