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Finding the Fourth Proportional to 57.45, 86.13 and 25.37

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Solution

The fourth proportional to 57.45, 86.13 and 25.37 is: 38.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.45 : 86.13 = 25.37 : x
  2. Step 2: Convert to fraction form
    57.45/86.13 = 25.37/x
  3. Step 3: Cross multiply
    57.45x = 86.13 × 25.37
  4. Step 4: Simplify right side
    57.45x = 2,184.69
  5. Step 5: Solve for x
    x = 2,184.69/57.45
  6. Step 6: Final answer
    x = 38.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.