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Finding the Fourth Proportional to 69.76, 105.28 and 67.84

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Solution

The fourth proportional to 69.76, 105.28 and 67.84 is: 102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.76 : 105.28 = 67.84 : x
  2. Step 2: Convert to fraction form
    69.76/105.28 = 67.84/x
  3. Step 3: Cross multiply
    69.76x = 105.28 × 67.84
  4. Step 4: Simplify right side
    69.76x = 7,142.20
  5. Step 5: Solve for x
    x = 7,142.20/69.76
  6. Step 6: Final answer
    x = 102.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.