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Finding the Fourth Proportional to 50.10, 69.09 and 41.90

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Solution

The fourth proportional to 50.10, 69.09 and 41.90 is: 57.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.10 : 69.09 = 41.90 : x
  2. Step 2: Convert to fraction form
    50.10/69.09 = 41.90/x
  3. Step 3: Cross multiply
    50.10x = 69.09 × 41.90
  4. Step 4: Simplify right side
    50.10x = 2,894.87
  5. Step 5: Solve for x
    x = 2,894.87/50.10
  6. Step 6: Final answer
    x = 57.78

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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.