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Finding the Fourth Proportional to 69.24, 103.20 and 68.67

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Solution

The fourth proportional to 69.24, 103.20 and 68.67 is: 102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.24 : 103.20 = 68.67 : x
  2. Step 2: Convert to fraction form
    69.24/103.20 = 68.67/x
  3. Step 3: Cross multiply
    69.24x = 103.20 × 68.67
  4. Step 4: Simplify right side
    69.24x = 7,086.74
  5. Step 5: Solve for x
    x = 7,086.74/69.24
  6. Step 6: Final answer
    x = 102.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.