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Finding the Fourth Proportional to 144.83, 199.92 and 105

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Solution

The fourth proportional to 144.83, 199.92 and 105 is: 144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.83 : 199.92 = 105 : x
  2. Step 2: Convert to fraction form
    144.83/199.92 = 105/x
  3. Step 3: Cross multiply
    144.83x = 199.92 × 105
  4. Step 4: Simplify right side
    144.83x = 20,991.60
  5. Step 5: Solve for x
    x = 20,991.60/144.83
  6. Step 6: Final answer
    x = 144.94

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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.