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Finding the Fourth Proportional to 57.82, 86.17 and 56.09

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Solution

The fourth proportional to 57.82, 86.17 and 56.09 is: 83.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.82 : 86.17 = 56.09 : x
  2. Step 2: Convert to fraction form
    57.82/86.17 = 56.09/x
  3. Step 3: Cross multiply
    57.82x = 86.17 × 56.09
  4. Step 4: Simplify right side
    57.82x = 4,833.28
  5. Step 5: Solve for x
    x = 4,833.28/57.82
  6. Step 6: Final answer
    x = 83.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.