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Finding the Fourth Proportional to 39.23, 54.13 and 38.42

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Solution

The fourth proportional to 39.23, 54.13 and 38.42 is: 53.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.23 : 54.13 = 38.42 : x
  2. Step 2: Convert to fraction form
    39.23/54.13 = 38.42/x
  3. Step 3: Cross multiply
    39.23x = 54.13 × 38.42
  4. Step 4: Simplify right side
    39.23x = 2,079.31
  5. Step 5: Solve for x
    x = 2,079.31/39.23
  6. Step 6: Final answer
    x = 53.01

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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.