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Finding the Fourth Proportional to 75.26, 103.92 and 49.05

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Solution

The fourth proportional to 75.26, 103.92 and 49.05 is: 67.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.26 : 103.92 = 49.05 : x
  2. Step 2: Convert to fraction form
    75.26/103.92 = 49.05/x
  3. Step 3: Cross multiply
    75.26x = 103.92 × 49.05
  4. Step 4: Simplify right side
    75.26x = 5,097.28
  5. Step 5: Solve for x
    x = 5,097.28/75.26
  6. Step 6: Final answer
    x = 67.73

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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.