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Finding the Fourth Proportional to 144.44, 199.29 and 86.18

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Solution

The fourth proportional to 144.44, 199.29 and 86.18 is: 118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.44 : 199.29 = 86.18 : x
  2. Step 2: Convert to fraction form
    144.44/199.29 = 86.18/x
  3. Step 3: Cross multiply
    144.44x = 199.29 × 86.18
  4. Step 4: Simplify right side
    144.44x = 17,174.81
  5. Step 5: Solve for x
    x = 17,174.81/144.44
  6. Step 6: Final answer
    x = 118.91

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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.