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Finding the Fourth Proportional to 69.07, 103.68 and 54.02

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Solution

The fourth proportional to 69.07, 103.68 and 54.02 is: 81.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.07 : 103.68 = 54.02 : x
  2. Step 2: Convert to fraction form
    69.07/103.68 = 54.02/x
  3. Step 3: Cross multiply
    69.07x = 103.68 × 54.02
  4. Step 4: Simplify right side
    69.07x = 5,600.79
  5. Step 5: Solve for x
    x = 5,600.79/69.07
  6. Step 6: Final answer
    x = 81.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.