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Finding the Fourth Proportional to 57.32, 86.13 and 53.67

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Solution

The fourth proportional to 57.32, 86.13 and 53.67 is: 80.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.32 : 86.13 = 53.67 : x
  2. Step 2: Convert to fraction form
    57.32/86.13 = 53.67/x
  3. Step 3: Cross multiply
    57.32x = 86.13 × 53.67
  4. Step 4: Simplify right side
    57.32x = 4,622.60
  5. Step 5: Solve for x
    x = 4,622.60/57.32
  6. Step 6: Final answer
    x = 80.65

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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.