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Finding the Fourth Proportional to 49.82, 68.74 and 31.37

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Solution

The fourth proportional to 49.82, 68.74 and 31.37 is: 43.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.82 : 68.74 = 31.37 : x
  2. Step 2: Convert to fraction form
    49.82/68.74 = 31.37/x
  3. Step 3: Cross multiply
    49.82x = 68.74 × 31.37
  4. Step 4: Simplify right side
    49.82x = 2,156.22
  5. Step 5: Solve for x
    x = 2,156.22/49.82
  6. Step 6: Final answer
    x = 43.28

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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.