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Finding the Fourth Proportional to 109, 163.63 and 93.07

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Solution

The fourth proportional to 109, 163.63 and 93.07 is: 139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 163.63 = 93.07 : x
  2. Step 2: Convert to fraction form
    109/163.63 = 93.07/x
  3. Step 3: Cross multiply
    109x = 163.63 × 93.07
  4. Step 4: Simplify right side
    109x = 15,229.04
  5. Step 5: Solve for x
    x = 15,229.04/109
  6. Step 6: Final answer
    x = 139.72

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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.