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Finding the Fourth Proportional to 57.46, 85.78 and 55.56

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Solution

The fourth proportional to 57.46, 85.78 and 55.56 is: 82.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.46 : 85.78 = 55.56 : x
  2. Step 2: Convert to fraction form
    57.46/85.78 = 55.56/x
  3. Step 3: Cross multiply
    57.46x = 85.78 × 55.56
  4. Step 4: Simplify right side
    57.46x = 4,765.94
  5. Step 5: Solve for x
    x = 4,765.94/57.46
  6. Step 6: Final answer
    x = 82.94

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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.