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Finding the Fourth Proportional to 38.34, 57.41 and 27.51

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Solution

The fourth proportional to 38.34, 57.41 and 27.51 is: 41.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.34 : 57.41 = 27.51 : x
  2. Step 2: Convert to fraction form
    38.34/57.41 = 27.51/x
  3. Step 3: Cross multiply
    38.34x = 57.41 × 27.51
  4. Step 4: Simplify right side
    38.34x = 1,579.35
  5. Step 5: Solve for x
    x = 1,579.35/38.34
  6. Step 6: Final answer
    x = 41.20

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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.