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Finding the Fourth Proportional to 144.79, 199.74 and 101.14

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Solution

The fourth proportional to 144.79, 199.74 and 101.14 is: 139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.79 : 199.74 = 101.14 : x
  2. Step 2: Convert to fraction form
    144.79/199.74 = 101.14/x
  3. Step 3: Cross multiply
    144.79x = 199.74 × 101.14
  4. Step 4: Simplify right side
    144.79x = 20,201.70
  5. Step 5: Solve for x
    x = 20,201.70/144.79
  6. Step 6: Final answer
    x = 139.52

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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.