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Finding the Fourth Proportional to 82.01, 113.30 and 69.86

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Solution

The fourth proportional to 82.01, 113.30 and 69.86 is: 96.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.01 : 113.30 = 69.86 : x
  2. Step 2: Convert to fraction form
    82.01/113.30 = 69.86/x
  3. Step 3: Cross multiply
    82.01x = 113.30 × 69.86
  4. Step 4: Simplify right side
    82.01x = 7,915.33
  5. Step 5: Solve for x
    x = 7,915.33/82.01
  6. Step 6: Final answer
    x = 96.51

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