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Finding the Fourth Proportional to 119.61, 179.49 and 61.83

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Solution

The fourth proportional to 119.61, 179.49 and 61.83 is: 92.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.61 : 179.49 = 61.83 : x
  2. Step 2: Convert to fraction form
    119.61/179.49 = 61.83/x
  3. Step 3: Cross multiply
    119.61x = 179.49 × 61.83
  4. Step 4: Simplify right side
    119.61x = 11,097.87
  5. Step 5: Solve for x
    x = 11,097.87/119.61
  6. Step 6: Final answer
    x = 92.78

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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.