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Finding the Fourth Proportional to 54.97, 82.41 and 30.93

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Solution

The fourth proportional to 54.97, 82.41 and 30.93 is: 46.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.97 : 82.41 = 30.93 : x
  2. Step 2: Convert to fraction form
    54.97/82.41 = 30.93/x
  3. Step 3: Cross multiply
    54.97x = 82.41 × 30.93
  4. Step 4: Simplify right side
    54.97x = 2,548.94
  5. Step 5: Solve for x
    x = 2,548.94/54.97
  6. Step 6: Final answer
    x = 46.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.