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Finding the Fourth Proportional to 144.04, 198.54 and 112.84

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Solution

The fourth proportional to 144.04, 198.54 and 112.84 is: 155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.04 : 198.54 = 112.84 : x
  2. Step 2: Convert to fraction form
    144.04/198.54 = 112.84/x
  3. Step 3: Cross multiply
    144.04x = 198.54 × 112.84
  4. Step 4: Simplify right side
    144.04x = 22,403.25
  5. Step 5: Solve for x
    x = 22,403.25/144.04
  6. Step 6: Final answer
    x = 155.53

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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.