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Finding the Fourth Proportional to 38.10, 57.06 and 27.42

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Solution

The fourth proportional to 38.10, 57.06 and 27.42 is: 41.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.10 : 57.06 = 27.42 : x
  2. Step 2: Convert to fraction form
    38.10/57.06 = 27.42/x
  3. Step 3: Cross multiply
    38.10x = 57.06 × 27.42
  4. Step 4: Simplify right side
    38.10x = 1,564.59
  5. Step 5: Solve for x
    x = 1,564.59/38.10
  6. Step 6: Final answer
    x = 41.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.