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Finding the Fourth Proportional to 49.25, 73.85 and 27.59

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Solution

The fourth proportional to 49.25, 73.85 and 27.59 is: 41.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.25 : 73.85 = 27.59 : x
  2. Step 2: Convert to fraction form
    49.25/73.85 = 27.59/x
  3. Step 3: Cross multiply
    49.25x = 73.85 × 27.59
  4. Step 4: Simplify right side
    49.25x = 2,037.01
  5. Step 5: Solve for x
    x = 2,037.01/49.25
  6. Step 6: Final answer
    x = 41.36

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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.