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Finding the Fourth Proportional to 144.24, 199.01 and 111.07

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Solution

The fourth proportional to 144.24, 199.01 and 111.07 is: 153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.24 : 199.01 = 111.07 : x
  2. Step 2: Convert to fraction form
    144.24/199.01 = 111.07/x
  3. Step 3: Cross multiply
    144.24x = 199.01 × 111.07
  4. Step 4: Simplify right side
    144.24x = 22,104.04
  5. Step 5: Solve for x
    x = 22,104.04/144.24
  6. Step 6: Final answer
    x = 153.24

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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.