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Finding the Fourth Proportional to 108.09, 149.74 and 105.93

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Solution

The fourth proportional to 108.09, 149.74 and 105.93 is: 146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.09 : 149.74 = 105.93 : x
  2. Step 2: Convert to fraction form
    108.09/149.74 = 105.93/x
  3. Step 3: Cross multiply
    108.09x = 149.74 × 105.93
  4. Step 4: Simplify right side
    108.09x = 15,861.69
  5. Step 5: Solve for x
    x = 15,861.69/108.09
  6. Step 6: Final answer
    x = 146.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.