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Finding the Fourth Proportional to 86.07, 118.78 and 49.23

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Solution

The fourth proportional to 86.07, 118.78 and 49.23 is: 67.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.07 : 118.78 = 49.23 : x
  2. Step 2: Convert to fraction form
    86.07/118.78 = 49.23/x
  3. Step 3: Cross multiply
    86.07x = 118.78 × 49.23
  4. Step 4: Simplify right side
    86.07x = 5,847.54
  5. Step 5: Solve for x
    x = 5,847.54/86.07
  6. Step 6: Final answer
    x = 67.94

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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.