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Finding the Fourth Proportional to 144.40, 199.29 and 105.19

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Solution

The fourth proportional to 144.40, 199.29 and 105.19 is: 145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.40 : 199.29 = 105.19 : x
  2. Step 2: Convert to fraction form
    144.40/199.29 = 105.19/x
  3. Step 3: Cross multiply
    144.40x = 199.29 × 105.19
  4. Step 4: Simplify right side
    144.40x = 20,963.32
  5. Step 5: Solve for x
    x = 20,963.32/144.40
  6. Step 6: Final answer
    x = 145.18

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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.