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Finding the Fourth Proportional to 86.94, 120.69 and 84.81

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Solution

The fourth proportional to 86.94, 120.69 and 84.81 is: 117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.94 : 120.69 = 84.81 : x
  2. Step 2: Convert to fraction form
    86.94/120.69 = 84.81/x
  3. Step 3: Cross multiply
    86.94x = 120.69 × 84.81
  4. Step 4: Simplify right side
    86.94x = 10,235.72
  5. Step 5: Solve for x
    x = 10,235.72/86.94
  6. Step 6: Final answer
    x = 117.73

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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.