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Finding the Fourth Proportional to 144.69, 199.68 and 79.19

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Solution

The fourth proportional to 144.69, 199.68 and 79.19 is: 109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.69 : 199.68 = 79.19 : x
  2. Step 2: Convert to fraction form
    144.69/199.68 = 79.19/x
  3. Step 3: Cross multiply
    144.69x = 199.68 × 79.19
  4. Step 4: Simplify right side
    144.69x = 15,812.76
  5. Step 5: Solve for x
    x = 15,812.76/144.69
  6. Step 6: Final answer
    x = 109.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.