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Finding the Fourth Proportional to 164.25, 226.56 and 106.06

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Solution

The fourth proportional to 164.25, 226.56 and 106.06 is: 146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.25 : 226.56 = 106.06 : x
  2. Step 2: Convert to fraction form
    164.25/226.56 = 106.06/x
  3. Step 3: Cross multiply
    164.25x = 226.56 × 106.06
  4. Step 4: Simplify right side
    164.25x = 24,028.95
  5. Step 5: Solve for x
    x = 24,028.95/164.25
  6. Step 6: Final answer
    x = 146.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.