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Finding the Fourth Proportional to 149.69, 206.34 and 100.49

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Solution

The fourth proportional to 149.69, 206.34 and 100.49 is: 138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.69 : 206.34 = 100.49 : x
  2. Step 2: Convert to fraction form
    149.69/206.34 = 100.49/x
  3. Step 3: Cross multiply
    149.69x = 206.34 × 100.49
  4. Step 4: Simplify right side
    149.69x = 20,734.07
  5. Step 5: Solve for x
    x = 20,734.07/149.69
  6. Step 6: Final answer
    x = 138.52

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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.