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Finding the Fourth Proportional to 39.88, 54.96 and 37.78

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Solution

The fourth proportional to 39.88, 54.96 and 37.78 is: 52.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.88 : 54.96 = 37.78 : x
  2. Step 2: Convert to fraction form
    39.88/54.96 = 37.78/x
  3. Step 3: Cross multiply
    39.88x = 54.96 × 37.78
  4. Step 4: Simplify right side
    39.88x = 2,076.39
  5. Step 5: Solve for x
    x = 2,076.39/39.88
  6. Step 6: Final answer
    x = 52.07

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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.