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Finding the Fourth Proportional to 119.49, 179.23 and 37.22

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Solution

The fourth proportional to 119.49, 179.23 and 37.22 is: 55.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.49 : 179.23 = 37.22 : x
  2. Step 2: Convert to fraction form
    119.49/179.23 = 37.22/x
  3. Step 3: Cross multiply
    119.49x = 179.23 × 37.22
  4. Step 4: Simplify right side
    119.49x = 6,670.94
  5. Step 5: Solve for x
    x = 6,670.94/119.49
  6. Step 6: Final answer
    x = 55.83

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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.