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Finding the Fourth Proportional to 44.78, 67.11 and 31.05

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Solution

The fourth proportional to 44.78, 67.11 and 31.05 is: 46.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.78 : 67.11 = 31.05 : x
  2. Step 2: Convert to fraction form
    44.78/67.11 = 31.05/x
  3. Step 3: Cross multiply
    44.78x = 67.11 × 31.05
  4. Step 4: Simplify right side
    44.78x = 2,083.77
  5. Step 5: Solve for x
    x = 2,083.77/44.78
  6. Step 6: Final answer
    x = 46.54

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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.