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Finding the Fourth Proportional to 49.22, 67.34 and 48.54

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Solution

The fourth proportional to 49.22, 67.34 and 48.54 is: 66.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.22 : 67.34 = 48.54 : x
  2. Step 2: Convert to fraction form
    49.22/67.34 = 48.54/x
  3. Step 3: Cross multiply
    49.22x = 67.34 × 48.54
  4. Step 4: Simplify right side
    49.22x = 3,268.68
  5. Step 5: Solve for x
    x = 3,268.68/49.22
  6. Step 6: Final answer
    x = 66.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.