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Finding the Fourth Proportional to 144.12, 199.34 and 118.84

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Solution

The fourth proportional to 144.12, 199.34 and 118.84 is: 164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.12 : 199.34 = 118.84 : x
  2. Step 2: Convert to fraction form
    144.12/199.34 = 118.84/x
  3. Step 3: Cross multiply
    144.12x = 199.34 × 118.84
  4. Step 4: Simplify right side
    144.12x = 23,689.57
  5. Step 5: Solve for x
    x = 23,689.57/144.12
  6. Step 6: Final answer
    x = 164.37

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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.