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Finding the Fourth Proportional to 84.32, 116.08 and 83.84

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Solution

The fourth proportional to 84.32, 116.08 and 83.84 is: 115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.32 : 116.08 = 83.84 : x
  2. Step 2: Convert to fraction form
    84.32/116.08 = 83.84/x
  3. Step 3: Cross multiply
    84.32x = 116.08 × 83.84
  4. Step 4: Simplify right side
    84.32x = 9,732.15
  5. Step 5: Solve for x
    x = 9,732.15/84.32
  6. Step 6: Final answer
    x = 115.42

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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.