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Finding the Fourth Proportional to 57.96, 79.92 and 51.73

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Solution

The fourth proportional to 57.96, 79.92 and 51.73 is: 71.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.96 : 79.92 = 51.73 : x
  2. Step 2: Convert to fraction form
    57.96/79.92 = 51.73/x
  3. Step 3: Cross multiply
    57.96x = 79.92 × 51.73
  4. Step 4: Simplify right side
    57.96x = 4,134.06
  5. Step 5: Solve for x
    x = 4,134.06/57.96
  6. Step 6: Final answer
    x = 71.33

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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.