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Finding the Fourth Proportional to 54.62, 75.33 and 32.78

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Solution

The fourth proportional to 54.62, 75.33 and 32.78 is: 45.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.62 : 75.33 = 32.78 : x
  2. Step 2: Convert to fraction form
    54.62/75.33 = 32.78/x
  3. Step 3: Cross multiply
    54.62x = 75.33 × 32.78
  4. Step 4: Simplify right side
    54.62x = 2,469.51
  5. Step 5: Solve for x
    x = 2,469.51/54.62
  6. Step 6: Final answer
    x = 45.21

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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.