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Finding the Fourth Proportional to 115.47, 159.17 and 82.67

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Solution

The fourth proportional to 115.47, 159.17 and 82.67 is: 113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.47 : 159.17 = 82.67 : x
  2. Step 2: Convert to fraction form
    115.47/159.17 = 82.67/x
  3. Step 3: Cross multiply
    115.47x = 159.17 × 82.67
  4. Step 4: Simplify right side
    115.47x = 13,157.37
  5. Step 5: Solve for x
    x = 13,157.37/115.47
  6. Step 6: Final answer
    x = 113.95

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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.