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Finding the Fourth Proportional to 144.95, 199.67 and 112.14

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Solution

The fourth proportional to 144.95, 199.67 and 112.14 is: 154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.95 : 199.67 = 112.14 : x
  2. Step 2: Convert to fraction form
    144.95/199.67 = 112.14/x
  3. Step 3: Cross multiply
    144.95x = 199.67 × 112.14
  4. Step 4: Simplify right side
    144.95x = 22,390.43
  5. Step 5: Solve for x
    x = 22,390.43/144.95
  6. Step 6: Final answer
    x = 154.48

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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.