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Finding the Fourth Proportional to 115.82, 159.75 and 83

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Solution

The fourth proportional to 115.82, 159.75 and 83 is: 114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.82 : 159.75 = 83 : x
  2. Step 2: Convert to fraction form
    115.82/159.75 = 83/x
  3. Step 3: Cross multiply
    115.82x = 159.75 × 83
  4. Step 4: Simplify right side
    115.82x = 13,259.25
  5. Step 5: Solve for x
    x = 13,259.25/115.82
  6. Step 6: Final answer
    x = 114.48

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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.