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Finding the Fourth Proportional to 85.29, 117.03 and 84.27

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Solution

The fourth proportional to 85.29, 117.03 and 84.27 is: 115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.29 : 117.03 = 84.27 : x
  2. Step 2: Convert to fraction form
    85.29/117.03 = 84.27/x
  3. Step 3: Cross multiply
    85.29x = 117.03 × 84.27
  4. Step 4: Simplify right side
    85.29x = 9,862.12
  5. Step 5: Solve for x
    x = 9,862.12/85.29
  6. Step 6: Final answer
    x = 115.63

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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.