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Finding the Fourth Proportional to 57.26, 85.97 and 54.67

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Solution

The fourth proportional to 57.26, 85.97 and 54.67 is: 82.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.26 : 85.97 = 54.67 : x
  2. Step 2: Convert to fraction form
    57.26/85.97 = 54.67/x
  3. Step 3: Cross multiply
    57.26x = 85.97 × 54.67
  4. Step 4: Simplify right side
    57.26x = 4,699.49
  5. Step 5: Solve for x
    x = 4,699.49/57.26
  6. Step 6: Final answer
    x = 82.07

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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.