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Finding the Fourth Proportional to 144.27, 198.71 and 111.01

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Solution

The fourth proportional to 144.27, 198.71 and 111.01 is: 152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.27 : 198.71 = 111.01 : x
  2. Step 2: Convert to fraction form
    144.27/198.71 = 111.01/x
  3. Step 3: Cross multiply
    144.27x = 198.71 × 111.01
  4. Step 4: Simplify right side
    144.27x = 22,058.80
  5. Step 5: Solve for x
    x = 22,058.80/144.27
  6. Step 6: Final answer
    x = 152.90

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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.