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Finding the Fourth Proportional to 38.15, 57.13 and 22.09

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Solution

The fourth proportional to 38.15, 57.13 and 22.09 is: 33.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.15 : 57.13 = 22.09 : x
  2. Step 2: Convert to fraction form
    38.15/57.13 = 22.09/x
  3. Step 3: Cross multiply
    38.15x = 57.13 × 22.09
  4. Step 4: Simplify right side
    38.15x = 1,262.00
  5. Step 5: Solve for x
    x = 1,262.00/38.15
  6. Step 6: Final answer
    x = 33.08

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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.