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Finding the Fourth Proportional to 108.00, 161.73 and 105.26

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Solution

The fourth proportional to 108.00, 161.73 and 105.26 is: 157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.00 : 161.73 = 105.26 : x
  2. Step 2: Convert to fraction form
    108.00/161.73 = 105.26/x
  3. Step 3: Cross multiply
    108.00x = 161.73 × 105.26
  4. Step 4: Simplify right side
    108.00x = 17,022.89
  5. Step 5: Solve for x
    x = 17,022.89/108.00
  6. Step 6: Final answer
    x = 157.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.