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Finding the Fourth Proportional to 180.74, 249.42 and 103.11

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Solution

The fourth proportional to 180.74, 249.42 and 103.11 is: 142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.74 : 249.42 = 103.11 : x
  2. Step 2: Convert to fraction form
    180.74/249.42 = 103.11/x
  3. Step 3: Cross multiply
    180.74x = 249.42 × 103.11
  4. Step 4: Simplify right side
    180.74x = 25,717.70
  5. Step 5: Solve for x
    x = 25,717.70/180.74
  6. Step 6: Final answer
    x = 142.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.