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Finding the Fourth Proportional to 119.38, 178.10 and 106.31

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Solution

The fourth proportional to 119.38, 178.10 and 106.31 is: 158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.38 : 178.10 = 106.31 : x
  2. Step 2: Convert to fraction form
    119.38/178.10 = 106.31/x
  3. Step 3: Cross multiply
    119.38x = 178.10 × 106.31
  4. Step 4: Simplify right side
    119.38x = 18,933.81
  5. Step 5: Solve for x
    x = 18,933.81/119.38
  6. Step 6: Final answer
    x = 158.60

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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.