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Finding the Fourth Proportional to 109.36, 163.34 and 85.36

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Solution

The fourth proportional to 109.36, 163.34 and 85.36 is: 127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.36 : 163.34 = 85.36 : x
  2. Step 2: Convert to fraction form
    109.36/163.34 = 85.36/x
  3. Step 3: Cross multiply
    109.36x = 163.34 × 85.36
  4. Step 4: Simplify right side
    109.36x = 13,942.70
  5. Step 5: Solve for x
    x = 13,942.70/109.36
  6. Step 6: Final answer
    x = 127.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.