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Finding the Fourth Proportional to 49.97, 75.06 and 36.41

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Solution

The fourth proportional to 49.97, 75.06 and 36.41 is: 54.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.97 : 75.06 = 36.41 : x
  2. Step 2: Convert to fraction form
    49.97/75.06 = 36.41/x
  3. Step 3: Cross multiply
    49.97x = 75.06 × 36.41
  4. Step 4: Simplify right side
    49.97x = 2,732.56
  5. Step 5: Solve for x
    x = 2,732.56/49.97
  6. Step 6: Final answer
    x = 54.68

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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.