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Finding the Fourth Proportional to 84.16, 116.96 and 83.28

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Solution

The fourth proportional to 84.16, 116.96 and 83.28 is: 115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.16 : 116.96 = 83.28 : x
  2. Step 2: Convert to fraction form
    84.16/116.96 = 83.28/x
  3. Step 3: Cross multiply
    84.16x = 116.96 × 83.28
  4. Step 4: Simplify right side
    84.16x = 9,740.43
  5. Step 5: Solve for x
    x = 9,740.43/84.16
  6. Step 6: Final answer
    x = 115.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.