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Finding the Fourth Proportional to 144.10, 198.86 and 81.93

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Solution

The fourth proportional to 144.10, 198.86 and 81.93 is: 113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.10 : 198.86 = 81.93 : x
  2. Step 2: Convert to fraction form
    144.10/198.86 = 81.93/x
  3. Step 3: Cross multiply
    144.10x = 198.86 × 81.93
  4. Step 4: Simplify right side
    144.10x = 16,292.10
  5. Step 5: Solve for x
    x = 16,292.10/144.10
  6. Step 6: Final answer
    x = 113.06

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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.