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Finding the Fourth Proportional to 50.24, 75.68 and 43.04

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Solution

The fourth proportional to 50.24, 75.68 and 43.04 is: 64.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.24 : 75.68 = 43.04 : x
  2. Step 2: Convert to fraction form
    50.24/75.68 = 43.04/x
  3. Step 3: Cross multiply
    50.24x = 75.68 × 43.04
  4. Step 4: Simplify right side
    50.24x = 3,257.27
  5. Step 5: Solve for x
    x = 3,257.27/50.24
  6. Step 6: Final answer
    x = 64.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.