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Finding the Fourth Proportional to 37.79, 55.97 and 37.39

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Solution

The fourth proportional to 37.79, 55.97 and 37.39 is: 55.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.79 : 55.97 = 37.39 : x
  2. Step 2: Convert to fraction form
    37.79/55.97 = 37.39/x
  3. Step 3: Cross multiply
    37.79x = 55.97 × 37.39
  4. Step 4: Simplify right side
    37.79x = 2,092.44
  5. Step 5: Solve for x
    x = 2,092.44/37.79
  6. Step 6: Final answer
    x = 55.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.