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Finding the Fourth Proportional to 144.34, 199.12 and 111.64

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Solution

The fourth proportional to 144.34, 199.12 and 111.64 is: 154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.34 : 199.12 = 111.64 : x
  2. Step 2: Convert to fraction form
    144.34/199.12 = 111.64/x
  3. Step 3: Cross multiply
    144.34x = 199.12 × 111.64
  4. Step 4: Simplify right side
    144.34x = 22,229.76
  5. Step 5: Solve for x
    x = 22,229.76/144.34
  6. Step 6: Final answer
    x = 154.01

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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.