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Finding the Fourth Proportional to 49.70, 68.54 and 42.41

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Solution

The fourth proportional to 49.70, 68.54 and 42.41 is: 58.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.70 : 68.54 = 42.41 : x
  2. Step 2: Convert to fraction form
    49.70/68.54 = 42.41/x
  3. Step 3: Cross multiply
    49.70x = 68.54 × 42.41
  4. Step 4: Simplify right side
    49.70x = 2,906.74
  5. Step 5: Solve for x
    x = 2,906.74/49.70
  6. Step 6: Final answer
    x = 58.48

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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.