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Finding the Fourth Proportional to 115.84, 159.86 and 83.24

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Solution

The fourth proportional to 115.84, 159.86 and 83.24 is: 114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.84 : 159.86 = 83.24 : x
  2. Step 2: Convert to fraction form
    115.84/159.86 = 83.24/x
  3. Step 3: Cross multiply
    115.84x = 159.86 × 83.24
  4. Step 4: Simplify right side
    115.84x = 13,306.75
  5. Step 5: Solve for x
    x = 13,306.75/115.84
  6. Step 6: Final answer
    x = 114.87

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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.