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Finding the Fourth Proportional to 108.20, 149.36 and 105.27

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Solution

The fourth proportional to 108.20, 149.36 and 105.27 is: 145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.20 : 149.36 = 105.27 : x
  2. Step 2: Convert to fraction form
    108.20/149.36 = 105.27/x
  3. Step 3: Cross multiply
    108.20x = 149.36 × 105.27
  4. Step 4: Simplify right side
    108.20x = 15,722.60
  5. Step 5: Solve for x
    x = 15,722.60/108.20
  6. Step 6: Final answer
    x = 145.32

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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.