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Finding the Fourth Proportional to 144.53, 199.50 and 111.74

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Solution

The fourth proportional to 144.53, 199.50 and 111.74 is: 154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.53 : 199.50 = 111.74 : x
  2. Step 2: Convert to fraction form
    144.53/199.50 = 111.74/x
  3. Step 3: Cross multiply
    144.53x = 199.50 × 111.74
  4. Step 4: Simplify right side
    144.53x = 22,292.13
  5. Step 5: Solve for x
    x = 22,292.13/144.53
  6. Step 6: Final answer
    x = 154.24

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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.