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Finding the Fourth Proportional to 109.67, 164.14 and 75.29

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Solution

The fourth proportional to 109.67, 164.14 and 75.29 is: 112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.67 : 164.14 = 75.29 : x
  2. Step 2: Convert to fraction form
    109.67/164.14 = 75.29/x
  3. Step 3: Cross multiply
    109.67x = 164.14 × 75.29
  4. Step 4: Simplify right side
    109.67x = 12,357.09
  5. Step 5: Solve for x
    x = 12,357.09/109.67
  6. Step 6: Final answer
    x = 112.68

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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.