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Finding the Fourth Proportional to 39.55, 54.22 and 38.94

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Solution

The fourth proportional to 39.55, 54.22 and 38.94 is: 53.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.55 : 54.22 = 38.94 : x
  2. Step 2: Convert to fraction form
    39.55/54.22 = 38.94/x
  3. Step 3: Cross multiply
    39.55x = 54.22 × 38.94
  4. Step 4: Simplify right side
    39.55x = 2,111.33
  5. Step 5: Solve for x
    x = 2,111.33/39.55
  6. Step 6: Final answer
    x = 53.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.