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Finding the Fourth Proportional to 49.42, 67.90 and 44.70

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Solution

The fourth proportional to 49.42, 67.90 and 44.70 is: 61.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.42 : 67.90 = 44.70 : x
  2. Step 2: Convert to fraction form
    49.42/67.90 = 44.70/x
  3. Step 3: Cross multiply
    49.42x = 67.90 × 44.70
  4. Step 4: Simplify right side
    49.42x = 3,035.13
  5. Step 5: Solve for x
    x = 3,035.13/49.42
  6. Step 6: Final answer
    x = 61.42

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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.