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Finding the Fourth Proportional to 69.24, 103.76 and 32.69

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Solution

The fourth proportional to 69.24, 103.76 and 32.69 is: 48.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.24 : 103.76 = 32.69 : x
  2. Step 2: Convert to fraction form
    69.24/103.76 = 32.69/x
  3. Step 3: Cross multiply
    69.24x = 103.76 × 32.69
  4. Step 4: Simplify right side
    69.24x = 3,391.91
  5. Step 5: Solve for x
    x = 3,391.91/69.24
  6. Step 6: Final answer
    x = 48.99

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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.