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Finding the Fourth Proportional to 44.73, 67.05 and 31.16

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Solution

The fourth proportional to 44.73, 67.05 and 31.16 is: 46.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.73 : 67.05 = 31.16 : x
  2. Step 2: Convert to fraction form
    44.73/67.05 = 31.16/x
  3. Step 3: Cross multiply
    44.73x = 67.05 × 31.16
  4. Step 4: Simplify right side
    44.73x = 2,089.28
  5. Step 5: Solve for x
    x = 2,089.28/44.73
  6. Step 6: Final answer
    x = 46.71

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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.