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Finding the Fourth Proportional to 85.24, 117.28 and 82.96

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Solution

The fourth proportional to 85.24, 117.28 and 82.96 is: 114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.24 : 117.28 = 82.96 : x
  2. Step 2: Convert to fraction form
    85.24/117.28 = 82.96/x
  3. Step 3: Cross multiply
    85.24x = 117.28 × 82.96
  4. Step 4: Simplify right side
    85.24x = 9,729.55
  5. Step 5: Solve for x
    x = 9,729.55/85.24
  6. Step 6: Final answer
    x = 114.14

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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.