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Finding the Fourth Proportional to 84.12, 115.58 and 83.28

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Solution

The fourth proportional to 84.12, 115.58 and 83.28 is: 114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.12 : 115.58 = 83.28 : x
  2. Step 2: Convert to fraction form
    84.12/115.58 = 83.28/x
  3. Step 3: Cross multiply
    84.12x = 115.58 × 83.28
  4. Step 4: Simplify right side
    84.12x = 9,625.50
  5. Step 5: Solve for x
    x = 9,625.50/84.12
  6. Step 6: Final answer
    x = 114.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.