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Finding the Fourth Proportional to 50.82, 76.24 and 16.59

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Solution

The fourth proportional to 50.82, 76.24 and 16.59 is: 24.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.82 : 76.24 = 16.59 : x
  2. Step 2: Convert to fraction form
    50.82/76.24 = 16.59/x
  3. Step 3: Cross multiply
    50.82x = 76.24 × 16.59
  4. Step 4: Simplify right side
    50.82x = 1,264.38
  5. Step 5: Solve for x
    x = 1,264.38/50.82
  6. Step 6: Final answer
    x = 24.88

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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.