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Finding the Fourth Proportional to 54.90, 82.31 and 49.82

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Solution

The fourth proportional to 54.90, 82.31 and 49.82 is: 74.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.90 : 82.31 = 49.82 : x
  2. Step 2: Convert to fraction form
    54.90/82.31 = 49.82/x
  3. Step 3: Cross multiply
    54.90x = 82.31 × 49.82
  4. Step 4: Simplify right side
    54.90x = 4,100.02
  5. Step 5: Solve for x
    x = 4,100.02/54.90
  6. Step 6: Final answer
    x = 74.68

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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.