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Finding the Fourth Proportional to 115.29, 159 and 84.24

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Solution

The fourth proportional to 115.29, 159 and 84.24 is: 116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.29 : 159 = 84.24 : x
  2. Step 2: Convert to fraction form
    115.29/159 = 84.24/x
  3. Step 3: Cross multiply
    115.29x = 159 × 84.24
  4. Step 4: Simplify right side
    115.29x = 13,394.16
  5. Step 5: Solve for x
    x = 13,394.16/115.29
  6. Step 6: Final answer
    x = 116.18

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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.