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Finding the Fourth Proportional to 119.68, 178.67 and 105.92

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Solution

The fourth proportional to 119.68, 178.67 and 105.92 is: 158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.68 : 178.67 = 105.92 : x
  2. Step 2: Convert to fraction form
    119.68/178.67 = 105.92/x
  3. Step 3: Cross multiply
    119.68x = 178.67 × 105.92
  4. Step 4: Simplify right side
    119.68x = 18,924.73
  5. Step 5: Solve for x
    x = 18,924.73/119.68
  6. Step 6: Final answer
    x = 158.13

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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.