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Finding the Fourth Proportional to 149.41, 206.37 and 105.94

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Solution

The fourth proportional to 149.41, 206.37 and 105.94 is: 146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.41 : 206.37 = 105.94 : x
  2. Step 2: Convert to fraction form
    149.41/206.37 = 105.94/x
  3. Step 3: Cross multiply
    149.41x = 206.37 × 105.94
  4. Step 4: Simplify right side
    149.41x = 21,861.28
  5. Step 5: Solve for x
    x = 21,861.28/149.41
  6. Step 6: Final answer
    x = 146.32

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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.