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Finding the Fourth Proportional to 109.35, 163.69 and 97.81

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Solution

The fourth proportional to 109.35, 163.69 and 97.81 is: 146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.35 : 163.69 = 97.81 : x
  2. Step 2: Convert to fraction form
    109.35/163.69 = 97.81/x
  3. Step 3: Cross multiply
    109.35x = 163.69 × 97.81
  4. Step 4: Simplify right side
    109.35x = 16,009.87
  5. Step 5: Solve for x
    x = 16,009.87/109.35
  6. Step 6: Final answer
    x = 146.41

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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.