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Finding the Fourth Proportional to 109.22, 164.80 and 105

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Solution

The fourth proportional to 109.22, 164.80 and 105 is: 158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.22 : 164.80 = 105 : x
  2. Step 2: Convert to fraction form
    109.22/164.80 = 105/x
  3. Step 3: Cross multiply
    109.22x = 164.80 × 105
  4. Step 4: Simplify right side
    109.22x = 17,304
  5. Step 5: Solve for x
    x = 17,304/109.22
  6. Step 6: Final answer
    x = 158.44

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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.