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Finding the Fourth Proportional to 144.07, 198.65 and 111.26

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Solution

The fourth proportional to 144.07, 198.65 and 111.26 is: 153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.07 : 198.65 = 111.26 : x
  2. Step 2: Convert to fraction form
    144.07/198.65 = 111.26/x
  3. Step 3: Cross multiply
    144.07x = 198.65 × 111.26
  4. Step 4: Simplify right side
    144.07x = 22,102.57
  5. Step 5: Solve for x
    x = 22,102.57/144.07
  6. Step 6: Final answer
    x = 153.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.