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Finding the Fourth Proportional to 144.21, 198.90 and 105.02

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Solution

The fourth proportional to 144.21, 198.90 and 105.02 is: 144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.21 : 198.90 = 105.02 : x
  2. Step 2: Convert to fraction form
    144.21/198.90 = 105.02/x
  3. Step 3: Cross multiply
    144.21x = 198.90 × 105.02
  4. Step 4: Simplify right side
    144.21x = 20,887.48
  5. Step 5: Solve for x
    x = 20,887.48/144.21
  6. Step 6: Final answer
    x = 144.84

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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.