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Finding the Fourth Proportional to 50.50, 69.77 and 50.23

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Solution

The fourth proportional to 50.50, 69.77 and 50.23 is: 69.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.50 : 69.77 = 50.23 : x
  2. Step 2: Convert to fraction form
    50.50/69.77 = 50.23/x
  3. Step 3: Cross multiply
    50.50x = 69.77 × 50.23
  4. Step 4: Simplify right side
    50.50x = 3,503.95
  5. Step 5: Solve for x
    x = 3,503.95/50.50
  6. Step 6: Final answer
    x = 69.39

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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.