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Finding the Fourth Proportional to 115.33, 159.24 and 84.29

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Solution

The fourth proportional to 115.33, 159.24 and 84.29 is: 116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.33 : 159.24 = 84.29 : x
  2. Step 2: Convert to fraction form
    115.33/159.24 = 84.29/x
  3. Step 3: Cross multiply
    115.33x = 159.24 × 84.29
  4. Step 4: Simplify right side
    115.33x = 13,422.52
  5. Step 5: Solve for x
    x = 13,422.52/115.33
  6. Step 6: Final answer
    x = 116.38

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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.