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Finding the Fourth Proportional to 143.69, 198.19 and 91.29

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Solution

The fourth proportional to 143.69, 198.19 and 91.29 is: 125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.69 : 198.19 = 91.29 : x
  2. Step 2: Convert to fraction form
    143.69/198.19 = 91.29/x
  3. Step 3: Cross multiply
    143.69x = 198.19 × 91.29
  4. Step 4: Simplify right side
    143.69x = 18,093.62
  5. Step 5: Solve for x
    x = 18,093.62/143.69
  6. Step 6: Final answer
    x = 125.93

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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.