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Finding the Fourth Proportional to 86.92, 119.90 and 57.84

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Solution

The fourth proportional to 86.92, 119.90 and 57.84 is: 79.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.92 : 119.90 = 57.84 : x
  2. Step 2: Convert to fraction form
    86.92/119.90 = 57.84/x
  3. Step 3: Cross multiply
    86.92x = 119.90 × 57.84
  4. Step 4: Simplify right side
    86.92x = 6,935.02
  5. Step 5: Solve for x
    x = 6,935.02/86.92
  6. Step 6: Final answer
    x = 79.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.