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Finding the Fourth Proportional to 44.91, 67.31 and 31.34

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Solution

The fourth proportional to 44.91, 67.31 and 31.34 is: 46.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.91 : 67.31 = 31.34 : x
  2. Step 2: Convert to fraction form
    44.91/67.31 = 31.34/x
  3. Step 3: Cross multiply
    44.91x = 67.31 × 31.34
  4. Step 4: Simplify right side
    44.91x = 2,109.50
  5. Step 5: Solve for x
    x = 2,109.50/44.91
  6. Step 6: Final answer
    x = 46.97

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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.