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Finding the Fourth Proportional to 149.75, 206.59 and 106.11

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Solution

The fourth proportional to 149.75, 206.59 and 106.11 is: 146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.75 : 206.59 = 106.11 : x
  2. Step 2: Convert to fraction form
    149.75/206.59 = 106.11/x
  3. Step 3: Cross multiply
    149.75x = 206.59 × 106.11
  4. Step 4: Simplify right side
    149.75x = 21,920.73
  5. Step 5: Solve for x
    x = 21,920.73/149.75
  6. Step 6: Final answer
    x = 146.38

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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.