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Finding the Fourth Proportional to 44.83, 67.29 and 31.33

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Solution

The fourth proportional to 44.83, 67.29 and 31.33 is: 47.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.83 : 67.29 = 31.33 : x
  2. Step 2: Convert to fraction form
    44.83/67.29 = 31.33/x
  3. Step 3: Cross multiply
    44.83x = 67.29 × 31.33
  4. Step 4: Simplify right side
    44.83x = 2,108.20
  5. Step 5: Solve for x
    x = 2,108.20/44.83
  6. Step 6: Final answer
    x = 47.03

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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.