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Finding the Fourth Proportional to 49.74, 68.52 and 41.60

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Solution

The fourth proportional to 49.74, 68.52 and 41.60 is: 57.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.74 : 68.52 = 41.60 : x
  2. Step 2: Convert to fraction form
    49.74/68.52 = 41.60/x
  3. Step 3: Cross multiply
    49.74x = 68.52 × 41.60
  4. Step 4: Simplify right side
    49.74x = 2,850.43
  5. Step 5: Solve for x
    x = 2,850.43/49.74
  6. Step 6: Final answer
    x = 57.31

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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.