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Finding the Fourth Proportional to 69.72, 96.24 and 49.07

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Solution

The fourth proportional to 69.72, 96.24 and 49.07 is: 67.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.72 : 96.24 = 49.07 : x
  2. Step 2: Convert to fraction form
    69.72/96.24 = 49.07/x
  3. Step 3: Cross multiply
    69.72x = 96.24 × 49.07
  4. Step 4: Simplify right side
    69.72x = 4,722.02
  5. Step 5: Solve for x
    x = 4,722.02/69.72
  6. Step 6: Final answer
    x = 67.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.