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Finding the Fourth Proportional to 38.42, 52.60 and 38.28

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Solution

The fourth proportional to 38.42, 52.60 and 38.28 is: 52.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.42 : 52.60 = 38.28 : x
  2. Step 2: Convert to fraction form
    38.42/52.60 = 38.28/x
  3. Step 3: Cross multiply
    38.42x = 52.60 × 38.28
  4. Step 4: Simplify right side
    38.42x = 2,013.43
  5. Step 5: Solve for x
    x = 2,013.43/38.42
  6. Step 6: Final answer
    x = 52.41

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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.