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Finding the Fourth Proportional to 54.09, 74.61 and 35.73

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Solution

The fourth proportional to 54.09, 74.61 and 35.73 is: 49.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.09 : 74.61 = 35.73 : x
  2. Step 2: Convert to fraction form
    54.09/74.61 = 35.73/x
  3. Step 3: Cross multiply
    54.09x = 74.61 × 35.73
  4. Step 4: Simplify right side
    54.09x = 2,665.82
  5. Step 5: Solve for x
    x = 2,665.82/54.09
  6. Step 6: Final answer
    x = 49.28

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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.