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Finding the Fourth Proportional to 49.22, 67.57 and 41.94

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Solution

The fourth proportional to 49.22, 67.57 and 41.94 is: 57.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.22 : 67.57 = 41.94 : x
  2. Step 2: Convert to fraction form
    49.22/67.57 = 41.94/x
  3. Step 3: Cross multiply
    49.22x = 67.57 × 41.94
  4. Step 4: Simplify right side
    49.22x = 2,833.89
  5. Step 5: Solve for x
    x = 2,833.89/49.22
  6. Step 6: Final answer
    x = 57.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.