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Finding the Fourth Proportional to 69.62, 103.64 and 69.26

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Solution

The fourth proportional to 69.62, 103.64 and 69.26 is: 103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.62 : 103.64 = 69.26 : x
  2. Step 2: Convert to fraction form
    69.62/103.64 = 69.26/x
  3. Step 3: Cross multiply
    69.62x = 103.64 × 69.26
  4. Step 4: Simplify right side
    69.62x = 7,178.11
  5. Step 5: Solve for x
    x = 7,178.11/69.62
  6. Step 6: Final answer
    x = 103.10

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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.