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Finding the Fourth Proportional to 69.54, 103.71 and 68.26

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Solution

The fourth proportional to 69.54, 103.71 and 68.26 is: 101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.54 : 103.71 = 68.26 : x
  2. Step 2: Convert to fraction form
    69.54/103.71 = 68.26/x
  3. Step 3: Cross multiply
    69.54x = 103.71 × 68.26
  4. Step 4: Simplify right side
    69.54x = 7,079.18
  5. Step 5: Solve for x
    x = 7,079.18/69.54
  6. Step 6: Final answer
    x = 101.80

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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.