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Finding the Fourth Proportional to 31.27, 46.49 and 30.96

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Solution

The fourth proportional to 31.27, 46.49 and 30.96 is: 46.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.27 : 46.49 = 30.96 : x
  2. Step 2: Convert to fraction form
    31.27/46.49 = 30.96/x
  3. Step 3: Cross multiply
    31.27x = 46.49 × 30.96
  4. Step 4: Simplify right side
    31.27x = 1,439.33
  5. Step 5: Solve for x
    x = 1,439.33/31.27
  6. Step 6: Final answer
    x = 46.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.