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Finding the Fourth Proportional to 49.97, 68.97 and 31.54

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Solution

The fourth proportional to 49.97, 68.97 and 31.54 is: 43.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.97 : 68.97 = 31.54 : x
  2. Step 2: Convert to fraction form
    49.97/68.97 = 31.54/x
  3. Step 3: Cross multiply
    49.97x = 68.97 × 31.54
  4. Step 4: Simplify right side
    49.97x = 2,175.21
  5. Step 5: Solve for x
    x = 2,175.21/49.97
  6. Step 6: Final answer
    x = 43.53

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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.