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Finding the Fourth Proportional to 149.44, 206.24 and 100.24

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Solution

The fourth proportional to 149.44, 206.24 and 100.24 is: 138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.44 : 206.24 = 100.24 : x
  2. Step 2: Convert to fraction form
    149.44/206.24 = 100.24/x
  3. Step 3: Cross multiply
    149.44x = 206.24 × 100.24
  4. Step 4: Simplify right side
    149.44x = 20,673.50
  5. Step 5: Solve for x
    x = 20,673.50/149.44
  6. Step 6: Final answer
    x = 138.34

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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.