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Finding the Fourth Proportional to 144.45, 199.37 and 86.26

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Solution

The fourth proportional to 144.45, 199.37 and 86.26 is: 119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.45 : 199.37 = 86.26 : x
  2. Step 2: Convert to fraction form
    144.45/199.37 = 86.26/x
  3. Step 3: Cross multiply
    144.45x = 199.37 × 86.26
  4. Step 4: Simplify right side
    144.45x = 17,197.66
  5. Step 5: Solve for x
    x = 17,197.66/144.45
  6. Step 6: Final answer
    x = 119.06

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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.