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Finding the Fourth Proportional to 144.29, 198.60 and 104.88

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Solution

The fourth proportional to 144.29, 198.60 and 104.88 is: 144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.29 : 198.60 = 104.88 : x
  2. Step 2: Convert to fraction form
    144.29/198.60 = 104.88/x
  3. Step 3: Cross multiply
    144.29x = 198.60 × 104.88
  4. Step 4: Simplify right side
    144.29x = 20,829.17
  5. Step 5: Solve for x
    x = 20,829.17/144.29
  6. Step 6: Final answer
    x = 144.36

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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.