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Finding the Fourth Proportional to 38.15, 57.09 and 22.04

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Solution

The fourth proportional to 38.15, 57.09 and 22.04 is: 32.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.15 : 57.09 = 22.04 : x
  2. Step 2: Convert to fraction form
    38.15/57.09 = 22.04/x
  3. Step 3: Cross multiply
    38.15x = 57.09 × 22.04
  4. Step 4: Simplify right side
    38.15x = 1,258.26
  5. Step 5: Solve for x
    x = 1,258.26/38.15
  6. Step 6: Final answer
    x = 32.98

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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.