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Finding the Fourth Proportional to 109.98, 164.73 and 67.14

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Solution

The fourth proportional to 109.98, 164.73 and 67.14 is: 100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.98 : 164.73 = 67.14 : x
  2. Step 2: Convert to fraction form
    109.98/164.73 = 67.14/x
  3. Step 3: Cross multiply
    109.98x = 164.73 × 67.14
  4. Step 4: Simplify right side
    109.98x = 11,059.97
  5. Step 5: Solve for x
    x = 11,059.97/109.98
  6. Step 6: Final answer
    x = 100.56

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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.