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Finding the Fourth Proportional to 119.64, 179.49 and 38.49

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Solution

The fourth proportional to 119.64, 179.49 and 38.49 is: 57.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.64 : 179.49 = 38.49 : x
  2. Step 2: Convert to fraction form
    119.64/179.49 = 38.49/x
  3. Step 3: Cross multiply
    119.64x = 179.49 × 38.49
  4. Step 4: Simplify right side
    119.64x = 6,908.57
  5. Step 5: Solve for x
    x = 6,908.57/119.64
  6. Step 6: Final answer
    x = 57.74

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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.