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Finding the Fourth Proportional to 50.94, 69.89 and 50.13

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Solution

The fourth proportional to 50.94, 69.89 and 50.13 is: 68.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.94 : 69.89 = 50.13 : x
  2. Step 2: Convert to fraction form
    50.94/69.89 = 50.13/x
  3. Step 3: Cross multiply
    50.94x = 69.89 × 50.13
  4. Step 4: Simplify right side
    50.94x = 3,503.34
  5. Step 5: Solve for x
    x = 3,503.34/50.94
  6. Step 6: Final answer
    x = 68.77

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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.