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Finding the Fourth Proportional to 57.50, 86.26 and 36.08

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Solution

The fourth proportional to 57.50, 86.26 and 36.08 is: 54.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.50 : 86.26 = 36.08 : x
  2. Step 2: Convert to fraction form
    57.50/86.26 = 36.08/x
  3. Step 3: Cross multiply
    57.50x = 86.26 × 36.08
  4. Step 4: Simplify right side
    57.50x = 3,112.26
  5. Step 5: Solve for x
    x = 3,112.26/57.50
  6. Step 6: Final answer
    x = 54.13

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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.