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Finding the Fourth Proportional to 69.71, 96.25 and 49.06

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Solution

The fourth proportional to 69.71, 96.25 and 49.06 is: 67.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.71 : 96.25 = 49.06 : x
  2. Step 2: Convert to fraction form
    69.71/96.25 = 49.06/x
  3. Step 3: Cross multiply
    69.71x = 96.25 × 49.06
  4. Step 4: Simplify right side
    69.71x = 4,721.54
  5. Step 5: Solve for x
    x = 4,721.54/69.71
  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.