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Finding the Fourth Proportional to 69.11, 103.27 and 49.76

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Solution

The fourth proportional to 69.11, 103.27 and 49.76 is: 74.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.11 : 103.27 = 49.76 : x
  2. Step 2: Convert to fraction form
    69.11/103.27 = 49.76/x
  3. Step 3: Cross multiply
    69.11x = 103.27 × 49.76
  4. Step 4: Simplify right side
    69.11x = 5,139.13
  5. Step 5: Solve for x
    x = 5,139.13/69.11
  6. Step 6: Final answer
    x = 74.36

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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.