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Finding the Fourth Proportional to 164.20, 226.64 and 106.02

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Solution

The fourth proportional to 164.20, 226.64 and 106.02 is: 146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.20 : 226.64 = 106.02 : x
  2. Step 2: Convert to fraction form
    164.20/226.64 = 106.02/x
  3. Step 3: Cross multiply
    164.20x = 226.64 × 106.02
  4. Step 4: Simplify right side
    164.20x = 24,028.37
  5. Step 5: Solve for x
    x = 24,028.37/164.20
  6. Step 6: Final answer
    x = 146.34

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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.