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Finding the Fourth Proportional to 109.74, 164.31 and 79.23

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Solution

The fourth proportional to 109.74, 164.31 and 79.23 is: 118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.74 : 164.31 = 79.23 : x
  2. Step 2: Convert to fraction form
    109.74/164.31 = 79.23/x
  3. Step 3: Cross multiply
    109.74x = 164.31 × 79.23
  4. Step 4: Simplify right side
    109.74x = 13,018.28
  5. Step 5: Solve for x
    x = 13,018.28/109.74
  6. Step 6: Final answer
    x = 118.63

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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.