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Finding the Fourth Proportional to 86, 118.78 and 84.92

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Solution

The fourth proportional to 86, 118.78 and 84.92 is: 117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86 : 118.78 = 84.92 : x
  2. Step 2: Convert to fraction form
    86/118.78 = 84.92/x
  3. Step 3: Cross multiply
    86x = 118.78 × 84.92
  4. Step 4: Simplify right side
    86x = 10,086.80
  5. Step 5: Solve for x
    x = 10,086.80/86
  6. Step 6: Final answer
    x = 117.29

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Why These Related Problems?

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