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Finding the Fourth Proportional to 149.37, 206.28 and 100.44

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Solution

The fourth proportional to 149.37, 206.28 and 100.44 is: 138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.37 : 206.28 = 100.44 : x
  2. Step 2: Convert to fraction form
    149.37/206.28 = 100.44/x
  3. Step 3: Cross multiply
    149.37x = 206.28 × 100.44
  4. Step 4: Simplify right side
    149.37x = 20,718.76
  5. Step 5: Solve for x
    x = 20,718.76/149.37
  6. Step 6: Final answer
    x = 138.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.