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Finding the Fourth Proportional to 144.95, 200.12 and 101.21

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Solution

The fourth proportional to 144.95, 200.12 and 101.21 is: 139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.95 : 200.12 = 101.21 : x
  2. Step 2: Convert to fraction form
    144.95/200.12 = 101.21/x
  3. Step 3: Cross multiply
    144.95x = 200.12 × 101.21
  4. Step 4: Simplify right side
    144.95x = 20,252.64
  5. Step 5: Solve for x
    x = 20,252.64/144.95
  6. Step 6: Final answer
    x = 139.73

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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.