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Finding the Fourth Proportional to 57.44, 79.22 and 38

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Solution

The fourth proportional to 57.44, 79.22 and 38 is: 52.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.44 : 79.22 = 38 : x
  2. Step 2: Convert to fraction form
    57.44/79.22 = 38/x
  3. Step 3: Cross multiply
    57.44x = 79.22 × 38
  4. Step 4: Simplify right side
    57.44x = 3,010.17
  5. Step 5: Solve for x
    x = 3,010.17/57.44
  6. Step 6: Final answer
    x = 52.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.