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Finding the Fourth Proportional to 84.82, 127 and 83.18

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Solution

The fourth proportional to 84.82, 127 and 83.18 is: 124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.82 : 127 = 83.18 : x
  2. Step 2: Convert to fraction form
    84.82/127 = 83.18/x
  3. Step 3: Cross multiply
    84.82x = 127 × 83.18
  4. Step 4: Simplify right side
    84.82x = 10,563.86
  5. Step 5: Solve for x
    x = 10,563.86/84.82
  6. Step 6: Final answer
    x = 124.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.