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Finding the Fourth Proportional to 57.92, 79.91 and 36.07

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Solution

The fourth proportional to 57.92, 79.91 and 36.07 is: 49.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.92 : 79.91 = 36.07 : x
  2. Step 2: Convert to fraction form
    57.92/79.91 = 36.07/x
  3. Step 3: Cross multiply
    57.92x = 79.91 × 36.07
  4. Step 4: Simplify right side
    57.92x = 2,882.44
  5. Step 5: Solve for x
    x = 2,882.44/57.92
  6. Step 6: Final answer
    x = 49.77

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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.