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Finding the Fourth Proportional to 119.49, 179.34 and 105.02

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Solution

The fourth proportional to 119.49, 179.34 and 105.02 is: 157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.49 : 179.34 = 105.02 : x
  2. Step 2: Convert to fraction form
    119.49/179.34 = 105.02/x
  3. Step 3: Cross multiply
    119.49x = 179.34 × 105.02
  4. Step 4: Simplify right side
    119.49x = 18,833.39
  5. Step 5: Solve for x
    x = 18,833.39/119.49
  6. Step 6: Final answer
    x = 157.61

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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.