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Finding the Fourth Proportional to 144.04, 198.82 and 127.56

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Solution

The fourth proportional to 144.04, 198.82 and 127.56 is: 176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.04 : 198.82 = 127.56 : x
  2. Step 2: Convert to fraction form
    144.04/198.82 = 127.56/x
  3. Step 3: Cross multiply
    144.04x = 198.82 × 127.56
  4. Step 4: Simplify right side
    144.04x = 25,361.48
  5. Step 5: Solve for x
    x = 25,361.48/144.04
  6. Step 6: Final answer
    x = 176.07

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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.