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Finding the Fourth Proportional to 57.50, 86.09 and 36.96

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Solution

The fourth proportional to 57.50, 86.09 and 36.96 is: 55.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.50 : 86.09 = 36.96 : x
  2. Step 2: Convert to fraction form
    57.50/86.09 = 36.96/x
  3. Step 3: Cross multiply
    57.50x = 86.09 × 36.96
  4. Step 4: Simplify right side
    57.50x = 3,181.79
  5. Step 5: Solve for x
    x = 3,181.79/57.50
  6. Step 6: Final answer
    x = 55.33

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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.