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Finding the Fourth Proportional to 134.21, 184.84 and 122.06

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Solution

The fourth proportional to 134.21, 184.84 and 122.06 is: 168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.21 : 184.84 = 122.06 : x
  2. Step 2: Convert to fraction form
    134.21/184.84 = 122.06/x
  3. Step 3: Cross multiply
    134.21x = 184.84 × 122.06
  4. Step 4: Simplify right side
    134.21x = 22,561.73
  5. Step 5: Solve for x
    x = 22,561.73/134.21
  6. Step 6: Final answer
    x = 168.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.