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Finding the Fourth Proportional to 119.52, 180.17 and 112.56

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Solution

The fourth proportional to 119.52, 180.17 and 112.56 is: 169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.52 : 180.17 = 112.56 : x
  2. Step 2: Convert to fraction form
    119.52/180.17 = 112.56/x
  3. Step 3: Cross multiply
    119.52x = 180.17 × 112.56
  4. Step 4: Simplify right side
    119.52x = 20,279.37
  5. Step 5: Solve for x
    x = 20,279.37/119.52
  6. Step 6: Final answer
    x = 169.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.