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Finding the Fourth Proportional to 49.02, 67.66 and 27.19

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Solution

The fourth proportional to 49.02, 67.66 and 27.19 is: 37.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.02 : 67.66 = 27.19 : x
  2. Step 2: Convert to fraction form
    49.02/67.66 = 27.19/x
  3. Step 3: Cross multiply
    49.02x = 67.66 × 27.19
  4. Step 4: Simplify right side
    49.02x = 1,839.69
  5. Step 5: Solve for x
    x = 1,839.69/49.02
  6. Step 6: Final answer
    x = 37.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.