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Finding the Fourth Proportional to 82.84, 123.96 and 69.88

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Solution

The fourth proportional to 82.84, 123.96 and 69.88 is: 104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.84 : 123.96 = 69.88 : x
  2. Step 2: Convert to fraction form
    82.84/123.96 = 69.88/x
  3. Step 3: Cross multiply
    82.84x = 123.96 × 69.88
  4. Step 4: Simplify right side
    82.84x = 8,662.32
  5. Step 5: Solve for x
    x = 8,662.32/82.84
  6. Step 6: Final answer
    x = 104.57

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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.