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Finding the Fourth Proportional to 84.80, 117.56 and 83.12

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Solution

The fourth proportional to 84.80, 117.56 and 83.12 is: 115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.80 : 117.56 = 83.12 : x
  2. Step 2: Convert to fraction form
    84.80/117.56 = 83.12/x
  3. Step 3: Cross multiply
    84.80x = 117.56 × 83.12
  4. Step 4: Simplify right side
    84.80x = 9,770.58
  5. Step 5: Solve for x
    x = 9,770.58/84.80
  6. Step 6: Final answer
    x = 115.23

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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.