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Finding the Fourth Proportional to 144.08, 199.20 and 118.04

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Solution

The fourth proportional to 144.08, 199.20 and 118.04 is: 163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.08 : 199.20 = 118.04 : x
  2. Step 2: Convert to fraction form
    144.08/199.20 = 118.04/x
  3. Step 3: Cross multiply
    144.08x = 199.20 × 118.04
  4. Step 4: Simplify right side
    144.08x = 23,513.57
  5. Step 5: Solve for x
    x = 23,513.57/144.08
  6. Step 6: Final answer
    x = 163.20

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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.