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Finding the Fourth Proportional to 57.56, 86.29 and 52.54

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Solution

The fourth proportional to 57.56, 86.29 and 52.54 is: 78.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.56 : 86.29 = 52.54 : x
  2. Step 2: Convert to fraction form
    57.56/86.29 = 52.54/x
  3. Step 3: Cross multiply
    57.56x = 86.29 × 52.54
  4. Step 4: Simplify right side
    57.56x = 4,533.33
  5. Step 5: Solve for x
    x = 4,533.33/57.56
  6. Step 6: Final answer
    x = 78.77

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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.