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Finding the Fourth Proportional to 134.06, 185.09 and 119.48

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Solution

The fourth proportional to 134.06, 185.09 and 119.48 is: 164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.06 : 185.09 = 119.48 : x
  2. Step 2: Convert to fraction form
    134.06/185.09 = 119.48/x
  3. Step 3: Cross multiply
    134.06x = 185.09 × 119.48
  4. Step 4: Simplify right side
    134.06x = 22,113.03
  5. Step 5: Solve for x
    x = 22,113.03/134.06
  6. Step 6: Final answer
    x = 164.95

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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.