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Finding the Fourth Proportional to 108.18, 161.00 and 107.05

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Solution

The fourth proportional to 108.18, 161.00 and 107.05 is: 159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.18 : 161.00 = 107.05 : x
  2. Step 2: Convert to fraction form
    108.18/161.00 = 107.05/x
  3. Step 3: Cross multiply
    108.18x = 161.00 × 107.05
  4. Step 4: Simplify right side
    108.18x = 17,234.11
  5. Step 5: Solve for x
    x = 17,234.11/108.18
  6. Step 6: Final answer
    x = 159.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.