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Finding the Fourth Proportional to 48.75, 67.26 and 42.27

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Solution

The fourth proportional to 48.75, 67.26 and 42.27 is: 58.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.75 : 67.26 = 42.27 : x
  2. Step 2: Convert to fraction form
    48.75/67.26 = 42.27/x
  3. Step 3: Cross multiply
    48.75x = 67.26 × 42.27
  4. Step 4: Simplify right side
    48.75x = 2,843.08
  5. Step 5: Solve for x
    x = 2,843.08/48.75
  6. Step 6: Final answer
    x = 58.32

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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.