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Finding the Fourth Proportional to 115.47, 159.37 and 84.49

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Solution

The fourth proportional to 115.47, 159.37 and 84.49 is: 116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.47 : 159.37 = 84.49 : x
  2. Step 2: Convert to fraction form
    115.47/159.37 = 84.49/x
  3. Step 3: Cross multiply
    115.47x = 159.37 × 84.49
  4. Step 4: Simplify right side
    115.47x = 13,464.56
  5. Step 5: Solve for x
    x = 13,464.56/115.47
  6. Step 6: Final answer
    x = 116.61

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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.