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Finding the Fourth Proportional to 49.33, 74.12 and 27.97

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Solution

The fourth proportional to 49.33, 74.12 and 27.97 is: 42.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.33 : 74.12 = 27.97 : x
  2. Step 2: Convert to fraction form
    49.33/74.12 = 27.97/x
  3. Step 3: Cross multiply
    49.33x = 74.12 × 27.97
  4. Step 4: Simplify right side
    49.33x = 2,073.00
  5. Step 5: Solve for x
    x = 2,073.00/49.33
  6. Step 6: Final answer
    x = 42.02

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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.