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Finding the Fourth Proportional to 50.92, 69.89 and 46.60

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Solution

The fourth proportional to 50.92, 69.89 and 46.60 is: 63.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.92 : 69.89 = 46.60 : x
  2. Step 2: Convert to fraction form
    50.92/69.89 = 46.60/x
  3. Step 3: Cross multiply
    50.92x = 69.89 × 46.60
  4. Step 4: Simplify right side
    50.92x = 3,256.87
  5. Step 5: Solve for x
    x = 3,256.87/50.92
  6. Step 6: Final answer
    x = 63.96

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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.