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Finding the Fourth Proportional to 69.36, 103.14 and 67.20

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Solution

The fourth proportional to 69.36, 103.14 and 67.20 is: 99.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.36 : 103.14 = 67.20 : x
  2. Step 2: Convert to fraction form
    69.36/103.14 = 67.20/x
  3. Step 3: Cross multiply
    69.36x = 103.14 × 67.20
  4. Step 4: Simplify right side
    69.36x = 6,930.62
  5. Step 5: Solve for x
    x = 6,930.62/69.36
  6. Step 6: Final answer
    x = 99.93

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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.