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Finding the Fourth Proportional to 134.24, 200.30 and 122.09

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Solution

The fourth proportional to 134.24, 200.30 and 122.09 is: 182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.24 : 200.30 = 122.09 : x
  2. Step 2: Convert to fraction form
    134.24/200.30 = 122.09/x
  3. Step 3: Cross multiply
    134.24x = 200.30 × 122.09
  4. Step 4: Simplify right side
    134.24x = 24,453.02
  5. Step 5: Solve for x
    x = 24,453.02/134.24
  6. Step 6: Final answer
    x = 182.17

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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.