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Finding the Fourth Proportional to 54.21, 74.82 and 33.48

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Solution

The fourth proportional to 54.21, 74.82 and 33.48 is: 46.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.21 : 74.82 = 33.48 : x
  2. Step 2: Convert to fraction form
    54.21/74.82 = 33.48/x
  3. Step 3: Cross multiply
    54.21x = 74.82 × 33.48
  4. Step 4: Simplify right side
    54.21x = 2,504.97
  5. Step 5: Solve for x
    x = 2,504.97/54.21
  6. Step 6: Final answer
    x = 46.21

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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.