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Finding the Fourth Proportional to 144.07, 198.73 and 85.84

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Solution

The fourth proportional to 144.07, 198.73 and 85.84 is: 118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.07 : 198.73 = 85.84 : x
  2. Step 2: Convert to fraction form
    144.07/198.73 = 85.84/x
  3. Step 3: Cross multiply
    144.07x = 198.73 × 85.84
  4. Step 4: Simplify right side
    144.07x = 17,058.98
  5. Step 5: Solve for x
    x = 17,058.98/144.07
  6. Step 6: Final answer
    x = 118.41

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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.