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Finding the Fourth Proportional to 57.79, 86.22 and 52.56

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Solution

The fourth proportional to 57.79, 86.22 and 52.56 is: 78.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.79 : 86.22 = 52.56 : x
  2. Step 2: Convert to fraction form
    57.79/86.22 = 52.56/x
  3. Step 3: Cross multiply
    57.79x = 86.22 × 52.56
  4. Step 4: Simplify right side
    57.79x = 4,531.72
  5. Step 5: Solve for x
    x = 4,531.72/57.79
  6. Step 6: Final answer
    x = 78.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.