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Finding the Fourth Proportional to 49.19, 67.89 and 28.47

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Solution

The fourth proportional to 49.19, 67.89 and 28.47 is: 39.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.19 : 67.89 = 28.47 : x
  2. Step 2: Convert to fraction form
    49.19/67.89 = 28.47/x
  3. Step 3: Cross multiply
    49.19x = 67.89 × 28.47
  4. Step 4: Simplify right side
    49.19x = 1,932.83
  5. Step 5: Solve for x
    x = 1,932.83/49.19
  6. Step 6: Final answer
    x = 39.30

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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.