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Finding the Fourth Proportional to 57.66, 86.39 and 34.77

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Solution

The fourth proportional to 57.66, 86.39 and 34.77 is: 52.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.66 : 86.39 = 34.77 : x
  2. Step 2: Convert to fraction form
    57.66/86.39 = 34.77/x
  3. Step 3: Cross multiply
    57.66x = 86.39 × 34.77
  4. Step 4: Simplify right side
    57.66x = 3,003.61
  5. Step 5: Solve for x
    x = 3,003.61/57.66
  6. Step 6: Final answer
    x = 52.09

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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.