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Finding the Fourth Proportional to 54.50, 81.63 and 40.82

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Solution

The fourth proportional to 54.50, 81.63 and 40.82 is: 61.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.50 : 81.63 = 40.82 : x
  2. Step 2: Convert to fraction form
    54.50/81.63 = 40.82/x
  3. Step 3: Cross multiply
    54.50x = 81.63 × 40.82
  4. Step 4: Simplify right side
    54.50x = 3,331.93
  5. Step 5: Solve for x
    x = 3,331.93/54.50
  6. Step 6: Final answer
    x = 61.14

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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.