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Finding the Fourth Proportional to 50.65, 69.90 and 29.92

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Solution

The fourth proportional to 50.65, 69.90 and 29.92 is: 41.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.65 : 69.90 = 29.92 : x
  2. Step 2: Convert to fraction form
    50.65/69.90 = 29.92/x
  3. Step 3: Cross multiply
    50.65x = 69.90 × 29.92
  4. Step 4: Simplify right side
    50.65x = 2,091.41
  5. Step 5: Solve for x
    x = 2,091.41/50.65
  6. Step 6: Final answer
    x = 41.29

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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.