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Finding the Fourth Proportional to 38.30, 52.86 and 27.42

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Solution

The fourth proportional to 38.30, 52.86 and 27.42 is: 37.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.30 : 52.86 = 27.42 : x
  2. Step 2: Convert to fraction form
    38.30/52.86 = 27.42/x
  3. Step 3: Cross multiply
    38.30x = 52.86 × 27.42
  4. Step 4: Simplify right side
    38.30x = 1,449.42
  5. Step 5: Solve for x
    x = 1,449.42/38.30
  6. Step 6: Final answer
    x = 37.84

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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.