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Finding the Fourth Proportional to 134.14, 200.88 and 112.44

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Solution

The fourth proportional to 134.14, 200.88 and 112.44 is: 168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.14 : 200.88 = 112.44 : x
  2. Step 2: Convert to fraction form
    134.14/200.88 = 112.44/x
  3. Step 3: Cross multiply
    134.14x = 200.88 × 112.44
  4. Step 4: Simplify right side
    134.14x = 22,586.95
  5. Step 5: Solve for x
    x = 22,586.95/134.14
  6. Step 6: Final answer
    x = 168.38

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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.