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Finding the Fourth Proportional to 82.14, 122.87 and 69.32

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Solution

The fourth proportional to 82.14, 122.87 and 69.32 is: 103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.14 : 122.87 = 69.32 : x
  2. Step 2: Convert to fraction form
    82.14/122.87 = 69.32/x
  3. Step 3: Cross multiply
    82.14x = 122.87 × 69.32
  4. Step 4: Simplify right side
    82.14x = 8,516.39
  5. Step 5: Solve for x
    x = 8,516.39/82.14
  6. Step 6: Final answer
    x = 103.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.