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Finding the Fourth Proportional to 57.46, 85.82 and 52.03

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Solution

The fourth proportional to 57.46, 85.82 and 52.03 is: 77.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.46 : 85.82 = 52.03 : x
  2. Step 2: Convert to fraction form
    57.46/85.82 = 52.03/x
  3. Step 3: Cross multiply
    57.46x = 85.82 × 52.03
  4. Step 4: Simplify right side
    57.46x = 4,464.95
  5. Step 5: Solve for x
    x = 4,464.95/57.46
  6. Step 6: Final answer
    x = 77.71

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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.