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Finding the Fourth Proportional to 84.29, 115.49 and 83.58

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Solution

The fourth proportional to 84.29, 115.49 and 83.58 is: 114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.29 : 115.49 = 83.58 : x
  2. Step 2: Convert to fraction form
    84.29/115.49 = 83.58/x
  3. Step 3: Cross multiply
    84.29x = 115.49 × 83.58
  4. Step 4: Simplify right side
    84.29x = 9,652.24
  5. Step 5: Solve for x
    x = 9,652.24/84.29
  6. Step 6: Final answer
    x = 114.52

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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.