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Finding the Fourth Proportional to 131.98, 198.87 and 109.65

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Solution

The fourth proportional to 131.98, 198.87 and 109.65 is: 165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.98 : 198.87 = 109.65 : x
  2. Step 2: Convert to fraction form
    131.98/198.87 = 109.65/x
  3. Step 3: Cross multiply
    131.98x = 198.87 × 109.65
  4. Step 4: Simplify right side
    131.98x = 21,806.43
  5. Step 5: Solve for x
    x = 21,806.43/131.98
  6. Step 6: Final answer
    x = 165.23

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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.