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Finding the Fourth Proportional to 134.42, 185.81 and 119.57

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Solution

The fourth proportional to 134.42, 185.81 and 119.57 is: 165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.42 : 185.81 = 119.57 : x
  2. Step 2: Convert to fraction form
    134.42/185.81 = 119.57/x
  3. Step 3: Cross multiply
    134.42x = 185.81 × 119.57
  4. Step 4: Simplify right side
    134.42x = 22,215.77
  5. Step 5: Solve for x
    x = 22,215.77/134.42
  6. Step 6: Final answer
    x = 165.28

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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.