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Finding the Fourth Proportional to 57.55, 86.07 and 51.18

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Solution

The fourth proportional to 57.55, 86.07 and 51.18 is: 76.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.55 : 86.07 = 51.18 : x
  2. Step 2: Convert to fraction form
    57.55/86.07 = 51.18/x
  3. Step 3: Cross multiply
    57.55x = 86.07 × 51.18
  4. Step 4: Simplify right side
    57.55x = 4,404.63
  5. Step 5: Solve for x
    x = 4,404.63/57.55
  6. Step 6: Final answer
    x = 76.54

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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.