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Finding the Fourth Proportional to 149.46, 206.44 and 107.95

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Solution

The fourth proportional to 149.46, 206.44 and 107.95 is: 149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.46 : 206.44 = 107.95 : x
  2. Step 2: Convert to fraction form
    149.46/206.44 = 107.95/x
  3. Step 3: Cross multiply
    149.46x = 206.44 × 107.95
  4. Step 4: Simplify right side
    149.46x = 22,283.78
  5. Step 5: Solve for x
    x = 22,283.78/149.46
  6. Step 6: Final answer
    x = 149.10

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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.