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Finding the Fourth Proportional to 85.24, 117.57 and 82.42

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Solution

The fourth proportional to 85.24, 117.57 and 82.42 is: 113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.24 : 117.57 = 82.42 : x
  2. Step 2: Convert to fraction form
    85.24/117.57 = 82.42/x
  3. Step 3: Cross multiply
    85.24x = 117.57 × 82.42
  4. Step 4: Simplify right side
    85.24x = 9,690.12
  5. Step 5: Solve for x
    x = 9,690.12/85.24
  6. Step 6: Final answer
    x = 113.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.