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Finding the Fourth Proportional to 144.22, 198.94 and 95.05

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Solution

The fourth proportional to 144.22, 198.94 and 95.05 is: 131.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.22 : 198.94 = 95.05 : x
  2. Step 2: Convert to fraction form
    144.22/198.94 = 95.05/x
  3. Step 3: Cross multiply
    144.22x = 198.94 × 95.05
  4. Step 4: Simplify right side
    144.22x = 18,909.25
  5. Step 5: Solve for x
    x = 18,909.25/144.22
  6. Step 6: Final answer
    x = 131.11

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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.