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Finding the Fourth Proportional to 108.80, 164.16 and 107.20

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Solution

The fourth proportional to 108.80, 164.16 and 107.20 is: 161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.80 : 164.16 = 107.20 : x
  2. Step 2: Convert to fraction form
    108.80/164.16 = 107.20/x
  3. Step 3: Cross multiply
    108.80x = 164.16 × 107.20
  4. Step 4: Simplify right side
    108.80x = 17,597.95
  5. Step 5: Solve for x
    x = 17,597.95/108.80
  6. Step 6: Final answer
    x = 161.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.