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Finding the Fourth Proportional to 42.57, 58.78 and 27.82

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Solution

The fourth proportional to 42.57, 58.78 and 27.82 is: 38.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.57 : 58.78 = 27.82 : x
  2. Step 2: Convert to fraction form
    42.57/58.78 = 27.82/x
  3. Step 3: Cross multiply
    42.57x = 58.78 × 27.82
  4. Step 4: Simplify right side
    42.57x = 1,635.44
  5. Step 5: Solve for x
    x = 1,635.44/42.57
  6. Step 6: Final answer
    x = 38.42

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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.