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Finding the Fourth Proportional to 119.41, 179.06 and 38.23

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Solution

The fourth proportional to 119.41, 179.06 and 38.23 is: 57.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.41 : 179.06 = 38.23 : x
  2. Step 2: Convert to fraction form
    119.41/179.06 = 38.23/x
  3. Step 3: Cross multiply
    119.41x = 179.06 × 38.23
  4. Step 4: Simplify right side
    119.41x = 6,845.04
  5. Step 5: Solve for x
    x = 6,845.04/119.41
  6. Step 6: Final answer
    x = 57.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.