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Finding the Fourth Proportional to 57.28, 79.20 and 51.84

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Solution

The fourth proportional to 57.28, 79.20 and 51.84 is: 71.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.28 : 79.20 = 51.84 : x
  2. Step 2: Convert to fraction form
    57.28/79.20 = 51.84/x
  3. Step 3: Cross multiply
    57.28x = 79.20 × 51.84
  4. Step 4: Simplify right side
    57.28x = 4,105.73
  5. Step 5: Solve for x
    x = 4,105.73/57.28
  6. Step 6: Final answer
    x = 71.68

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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.