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Finding the Fourth Proportional to 143.68, 198 and 109.12

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Solution

The fourth proportional to 143.68, 198 and 109.12 is: 150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.68 : 198 = 109.12 : x
  2. Step 2: Convert to fraction form
    143.68/198 = 109.12/x
  3. Step 3: Cross multiply
    143.68x = 198 × 109.12
  4. Step 4: Simplify right side
    143.68x = 21,605.76
  5. Step 5: Solve for x
    x = 21,605.76/143.68
  6. Step 6: Final answer
    x = 150.37

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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.