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Finding the Fourth Proportional to 57.84, 86.79 and 39.77

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Solution

The fourth proportional to 57.84, 86.79 and 39.77 is: 59.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.84 : 86.79 = 39.77 : x
  2. Step 2: Convert to fraction form
    57.84/86.79 = 39.77/x
  3. Step 3: Cross multiply
    57.84x = 86.79 × 39.77
  4. Step 4: Simplify right side
    57.84x = 3,451.44
  5. Step 5: Solve for x
    x = 3,451.44/57.84
  6. Step 6: Final answer
    x = 59.67

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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.