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Finding the Fourth Proportional to 69.23, 103.86 and 30.74

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Solution

The fourth proportional to 69.23, 103.86 and 30.74 is: 46.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.23 : 103.86 = 30.74 : x
  2. Step 2: Convert to fraction form
    69.23/103.86 = 30.74/x
  3. Step 3: Cross multiply
    69.23x = 103.86 × 30.74
  4. Step 4: Simplify right side
    69.23x = 3,192.14
  5. Step 5: Solve for x
    x = 3,192.14/69.23
  6. Step 6: Final answer
    x = 46.11

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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.