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Finding the Fourth Proportional to 50.92, 76.46 and 23.92

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Solution

The fourth proportional to 50.92, 76.46 and 23.92 is: 35.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.92 : 76.46 = 23.92 : x
  2. Step 2: Convert to fraction form
    50.92/76.46 = 23.92/x
  3. Step 3: Cross multiply
    50.92x = 76.46 × 23.92
  4. Step 4: Simplify right side
    50.92x = 1,828.92
  5. Step 5: Solve for x
    x = 1,828.92/50.92
  6. Step 6: Final answer
    x = 35.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.