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Finding the Fourth Proportional to 144.90, 199.77 and 112.02

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Solution

The fourth proportional to 144.90, 199.77 and 112.02 is: 154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.90 : 199.77 = 112.02 : x
  2. Step 2: Convert to fraction form
    144.90/199.77 = 112.02/x
  3. Step 3: Cross multiply
    144.90x = 199.77 × 112.02
  4. Step 4: Simplify right side
    144.90x = 22,378.24
  5. Step 5: Solve for x
    x = 22,378.24/144.90
  6. Step 6: Final answer
    x = 154.44

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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.