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Finding the Fourth Proportional to 119.89, 180.24 and 79.39

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Solution

The fourth proportional to 119.89, 180.24 and 79.39 is: 119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.89 : 180.24 = 79.39 : x
  2. Step 2: Convert to fraction form
    119.89/180.24 = 79.39/x
  3. Step 3: Cross multiply
    119.89x = 180.24 × 79.39
  4. Step 4: Simplify right side
    119.89x = 14,309.25
  5. Step 5: Solve for x
    x = 14,309.25/119.89
  6. Step 6: Final answer
    x = 119.35

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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.