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Finding the Fourth Proportional to 134.23, 200.88 and 109.57

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Solution

The fourth proportional to 134.23, 200.88 and 109.57 is: 163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.23 : 200.88 = 109.57 : x
  2. Step 2: Convert to fraction form
    134.23/200.88 = 109.57/x
  3. Step 3: Cross multiply
    134.23x = 200.88 × 109.57
  4. Step 4: Simplify right side
    134.23x = 22,010.30
  5. Step 5: Solve for x
    x = 22,010.30/134.23
  6. Step 6: Final answer
    x = 163.97

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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.