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Finding the Fourth Proportional to 54.97, 75.77 and 38.54

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Solution

The fourth proportional to 54.97, 75.77 and 38.54 is: 53.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.97 : 75.77 = 38.54 : x
  2. Step 2: Convert to fraction form
    54.97/75.77 = 38.54/x
  3. Step 3: Cross multiply
    54.97x = 75.77 × 38.54
  4. Step 4: Simplify right side
    54.97x = 2,920.27
  5. Step 5: Solve for x
    x = 2,920.27/54.97
  6. Step 6: Final answer
    x = 53.13

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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.