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Finding the Fourth Proportional to 144.16, 198.92 and 82.00

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Solution

The fourth proportional to 144.16, 198.92 and 82.00 is: 113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.16 : 198.92 = 82.00 : x
  2. Step 2: Convert to fraction form
    144.16/198.92 = 82.00/x
  3. Step 3: Cross multiply
    144.16x = 198.92 × 82.00
  4. Step 4: Simplify right side
    144.16x = 16,310.45
  5. Step 5: Solve for x
    x = 16,310.45/144.16
  6. Step 6: Final answer
    x = 113.15

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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.