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Finding the Fourth Proportional to 86.20, 118.31 and 76.94

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Solution

The fourth proportional to 86.20, 118.31 and 76.94 is: 105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.20 : 118.31 = 76.94 : x
  2. Step 2: Convert to fraction form
    86.20/118.31 = 76.94/x
  3. Step 3: Cross multiply
    86.20x = 118.31 × 76.94
  4. Step 4: Simplify right side
    86.20x = 9,102.77
  5. Step 5: Solve for x
    x = 9,102.77/86.20
  6. Step 6: Final answer
    x = 105.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.