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Finding the Fourth Proportional to 180.87, 249.64 and 107.21

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Solution

The fourth proportional to 180.87, 249.64 and 107.21 is: 147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.87 : 249.64 = 107.21 : x
  2. Step 2: Convert to fraction form
    180.87/249.64 = 107.21/x
  3. Step 3: Cross multiply
    180.87x = 249.64 × 107.21
  4. Step 4: Simplify right side
    180.87x = 26,763.90
  5. Step 5: Solve for x
    x = 26,763.90/180.87
  6. Step 6: Final answer
    x = 147.97

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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.