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Finding the Fourth Proportional to 86.69, 118.97 and 78.48

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Solution

The fourth proportional to 86.69, 118.97 and 78.48 is: 107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.69 : 118.97 = 78.48 : x
  2. Step 2: Convert to fraction form
    86.69/118.97 = 78.48/x
  3. Step 3: Cross multiply
    86.69x = 118.97 × 78.48
  4. Step 4: Simplify right side
    86.69x = 9,336.37
  5. Step 5: Solve for x
    x = 9,336.37/86.69
  6. Step 6: Final answer
    x = 107.70

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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.