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Finding the Fourth Proportional to 119.32, 177.83 and 116.92

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Solution

The fourth proportional to 119.32, 177.83 and 116.92 is: 174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.32 : 177.83 = 116.92 : x
  2. Step 2: Convert to fraction form
    119.32/177.83 = 116.92/x
  3. Step 3: Cross multiply
    119.32x = 177.83 × 116.92
  4. Step 4: Simplify right side
    119.32x = 20,791.88
  5. Step 5: Solve for x
    x = 20,791.88/119.32
  6. Step 6: Final answer
    x = 174.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.