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Finding the Fourth Proportional to 109.00, 163.09 and 65.71

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Solution

The fourth proportional to 109.00, 163.09 and 65.71 is: 98.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.00 : 163.09 = 65.71 : x
  2. Step 2: Convert to fraction form
    109.00/163.09 = 65.71/x
  3. Step 3: Cross multiply
    109.00x = 163.09 × 65.71
  4. Step 4: Simplify right side
    109.00x = 10,715.50
  5. Step 5: Solve for x
    x = 10,715.50/109.00
  6. Step 6: Final answer
    x = 98.31

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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.