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Finding the Fourth Proportional to 115.41, 159.25 and 68.78

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Solution

The fourth proportional to 115.41, 159.25 and 68.78 is: 94.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.41 : 159.25 = 68.78 : x
  2. Step 2: Convert to fraction form
    115.41/159.25 = 68.78/x
  3. Step 3: Cross multiply
    115.41x = 159.25 × 68.78
  4. Step 4: Simplify right side
    115.41x = 10,953.22
  5. Step 5: Solve for x
    x = 10,953.22/115.41
  6. Step 6: Final answer
    x = 94.91

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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.