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Finding the Fourth Proportional to 44.91, 67.71 and 37.83

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Solution

The fourth proportional to 44.91, 67.71 and 37.83 is: 57.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.91 : 67.71 = 37.83 : x
  2. Step 2: Convert to fraction form
    44.91/67.71 = 37.83/x
  3. Step 3: Cross multiply
    44.91x = 67.71 × 37.83
  4. Step 4: Simplify right side
    44.91x = 2,561.47
  5. Step 5: Solve for x
    x = 2,561.47/44.91
  6. Step 6: Final answer
    x = 57.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.