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Finding the Fourth Proportional to 39.82, 55.05 and 37.96

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Solution

The fourth proportional to 39.82, 55.05 and 37.96 is: 52.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.82 : 55.05 = 37.96 : x
  2. Step 2: Convert to fraction form
    39.82/55.05 = 37.96/x
  3. Step 3: Cross multiply
    39.82x = 55.05 × 37.96
  4. Step 4: Simplify right side
    39.82x = 2,089.89
  5. Step 5: Solve for x
    x = 2,089.89/39.82
  6. Step 6: Final answer
    x = 52.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.