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Finding the Fourth Proportional to 38.03, 52.50 and 27.68

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Solution

The fourth proportional to 38.03, 52.50 and 27.68 is: 38.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.03 : 52.50 = 27.68 : x
  2. Step 2: Convert to fraction form
    38.03/52.50 = 27.68/x
  3. Step 3: Cross multiply
    38.03x = 52.50 × 27.68
  4. Step 4: Simplify right side
    38.03x = 1,452.94
  5. Step 5: Solve for x
    x = 1,452.94/38.03
  6. Step 6: Final answer
    x = 38.21

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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.