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Finding the Fourth Proportional to 86.92, 120.64 and 84.75

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Solution

The fourth proportional to 86.92, 120.64 and 84.75 is: 117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.92 : 120.64 = 84.75 : x
  2. Step 2: Convert to fraction form
    86.92/120.64 = 84.75/x
  3. Step 3: Cross multiply
    86.92x = 120.64 × 84.75
  4. Step 4: Simplify right side
    86.92x = 10,223.73
  5. Step 5: Solve for x
    x = 10,223.73/86.92
  6. Step 6: Final answer
    x = 117.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.