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Finding the Fourth Proportional to 109, 163.49 and 65.71

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Solution

The fourth proportional to 109, 163.49 and 65.71 is: 98.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 163.49 = 65.71 : x
  2. Step 2: Convert to fraction form
    109/163.49 = 65.71/x
  3. Step 3: Cross multiply
    109x = 163.49 × 65.71
  4. Step 4: Simplify right side
    109x = 10,742.93
  5. Step 5: Solve for x
    x = 10,742.93/109
  6. Step 6: Final answer
    x = 98.56

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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.