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Finding the Fourth Proportional to 54.75, 75.62 and 32.97

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Solution

The fourth proportional to 54.75, 75.62 and 32.97 is: 45.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.75 : 75.62 = 32.97 : x
  2. Step 2: Convert to fraction form
    54.75/75.62 = 32.97/x
  3. Step 3: Cross multiply
    54.75x = 75.62 × 32.97
  4. Step 4: Simplify right side
    54.75x = 2,493.03
  5. Step 5: Solve for x
    x = 2,493.03/54.75
  6. Step 6: Final answer
    x = 45.53

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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.