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Finding the Fourth Proportional to 134.03, 200.91 and 106.49

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Solution

The fourth proportional to 134.03, 200.91 and 106.49 is: 159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.03 : 200.91 = 106.49 : x
  2. Step 2: Convert to fraction form
    134.03/200.91 = 106.49/x
  3. Step 3: Cross multiply
    134.03x = 200.91 × 106.49
  4. Step 4: Simplify right side
    134.03x = 21,394.91
  5. Step 5: Solve for x
    x = 21,394.91/134.03
  6. Step 6: Final answer
    x = 159.63

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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.