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Finding the Fourth Proportional to 144.51, 199.43 and 107.84

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Solution

The fourth proportional to 144.51, 199.43 and 107.84 is: 148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.51 : 199.43 = 107.84 : x
  2. Step 2: Convert to fraction form
    144.51/199.43 = 107.84/x
  3. Step 3: Cross multiply
    144.51x = 199.43 × 107.84
  4. Step 4: Simplify right side
    144.51x = 21,504.99
  5. Step 5: Solve for x
    x = 21,504.99/144.51
  6. Step 6: Final answer
    x = 148.81

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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.