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Finding the Fourth Proportional to 134.97, 201.44 and 122.06

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Solution

The fourth proportional to 134.97, 201.44 and 122.06 is: 182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.97 : 201.44 = 122.06 : x
  2. Step 2: Convert to fraction form
    134.97/201.44 = 122.06/x
  3. Step 3: Cross multiply
    134.97x = 201.44 × 122.06
  4. Step 4: Simplify right side
    134.97x = 24,586.76
  5. Step 5: Solve for x
    x = 24,586.76/134.97
  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.