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Finding the Fourth Proportional to 82.92, 124.41 and 50.43

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Solution

The fourth proportional to 82.92, 124.41 and 50.43 is: 75.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.92 : 124.41 = 50.43 : x
  2. Step 2: Convert to fraction form
    82.92/124.41 = 50.43/x
  3. Step 3: Cross multiply
    82.92x = 124.41 × 50.43
  4. Step 4: Simplify right side
    82.92x = 6,273.37
  5. Step 5: Solve for x
    x = 6,273.37/82.92
  6. Step 6: Final answer
    x = 75.66

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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.