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Finding the Fourth Proportional to 49.95, 74.84 and 27.09

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Solution

The fourth proportional to 49.95, 74.84 and 27.09 is: 40.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.95 : 74.84 = 27.09 : x
  2. Step 2: Convert to fraction form
    49.95/74.84 = 27.09/x
  3. Step 3: Cross multiply
    49.95x = 74.84 × 27.09
  4. Step 4: Simplify right side
    49.95x = 2,027.28
  5. Step 5: Solve for x
    x = 2,027.28/49.95
  6. Step 6: Final answer
    x = 40.59

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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.