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Finding the Fourth Proportional to 115.57, 159.42 and 84.56

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Solution

The fourth proportional to 115.57, 159.42 and 84.56 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.57 : 159.42 = 84.56 : x
  2. Step 2: Convert to fraction form
    115.57/159.42 = 84.56/x
  3. Step 3: Cross multiply
    115.57x = 159.42 × 84.56
  4. Step 4: Simplify right side
    115.57x = 13,480.56
  5. Step 5: Solve for x
    x = 13,480.56/115.57
  6. Step 6: Final answer
    x = 116.64

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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.