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Finding the Fourth Proportional to 84.96, 116.83 and 82.40

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Solution

The fourth proportional to 84.96, 116.83 and 82.40 is: 113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.96 : 116.83 = 82.40 : x
  2. Step 2: Convert to fraction form
    84.96/116.83 = 82.40/x
  3. Step 3: Cross multiply
    84.96x = 116.83 × 82.40
  4. Step 4: Simplify right side
    84.96x = 9,626.79
  5. Step 5: Solve for x
    x = 9,626.79/84.96
  6. Step 6: Final answer
    x = 113.31

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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.