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Finding the Fourth Proportional to 144.17, 199.01 and 105.47

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Solution

The fourth proportional to 144.17, 199.01 and 105.47 is: 145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.17 : 199.01 = 105.47 : x
  2. Step 2: Convert to fraction form
    144.17/199.01 = 105.47/x
  3. Step 3: Cross multiply
    144.17x = 199.01 × 105.47
  4. Step 4: Simplify right side
    144.17x = 20,989.58
  5. Step 5: Solve for x
    x = 20,989.58/144.17
  6. Step 6: Final answer
    x = 145.59

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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.