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Finding the Fourth Proportional to 149.54, 206.16 and 105.80

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Solution

The fourth proportional to 149.54, 206.16 and 105.80 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.54 : 206.16 = 105.80 : x
  2. Step 2: Convert to fraction form
    149.54/206.16 = 105.80/x
  3. Step 3: Cross multiply
    149.54x = 206.16 × 105.80
  4. Step 4: Simplify right side
    149.54x = 21,811.73
  5. Step 5: Solve for x
    x = 21,811.73/149.54
  6. Step 6: Final answer
    x = 145.86

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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.