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Finding the Fourth Proportional to 38.04, 57 and 22.84

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Solution

The fourth proportional to 38.04, 57 and 22.84 is: 34.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.04 : 57 = 22.84 : x
  2. Step 2: Convert to fraction form
    38.04/57 = 22.84/x
  3. Step 3: Cross multiply
    38.04x = 57 × 22.84
  4. Step 4: Simplify right side
    38.04x = 1,301.88
  5. Step 5: Solve for x
    x = 1,301.88/38.04
  6. Step 6: Final answer
    x = 34.22

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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.