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Finding the Fourth Proportional to 131.49, 198.12 and 119.16

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Solution

The fourth proportional to 131.49, 198.12 and 119.16 is: 179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.49 : 198.12 = 119.16 : x
  2. Step 2: Convert to fraction form
    131.49/198.12 = 119.16/x
  3. Step 3: Cross multiply
    131.49x = 198.12 × 119.16
  4. Step 4: Simplify right side
    131.49x = 23,607.98
  5. Step 5: Solve for x
    x = 23,607.98/131.49
  6. Step 6: Final answer
    x = 179.54

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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.