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Finding the Fourth Proportional to 115.36, 159.41 and 82.56

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Solution

The fourth proportional to 115.36, 159.41 and 82.56 is: 114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.36 : 159.41 = 82.56 : x
  2. Step 2: Convert to fraction form
    115.36/159.41 = 82.56/x
  3. Step 3: Cross multiply
    115.36x = 159.41 × 82.56
  4. Step 4: Simplify right side
    115.36x = 13,160.89
  5. Step 5: Solve for x
    x = 13,160.89/115.36
  6. Step 6: Final answer
    x = 114.09

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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.