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Finding the Fourth Proportional to 134.20, 200.39 and 116.20

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Solution

The fourth proportional to 134.20, 200.39 and 116.20 is: 173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.20 : 200.39 = 116.20 : x
  2. Step 2: Convert to fraction form
    134.20/200.39 = 116.20/x
  3. Step 3: Cross multiply
    134.20x = 200.39 × 116.20
  4. Step 4: Simplify right side
    134.20x = 23,285.32
  5. Step 5: Solve for x
    x = 23,285.32/134.20
  6. Step 6: Final answer
    x = 173.51

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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.