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Finding the Fourth Proportional to 164.36, 226.82 and 106.04

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Solution

The fourth proportional to 164.36, 226.82 and 106.04 is: 146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.36 : 226.82 = 106.04 : x
  2. Step 2: Convert to fraction form
    164.36/226.82 = 106.04/x
  3. Step 3: Cross multiply
    164.36x = 226.82 × 106.04
  4. Step 4: Simplify right side
    164.36x = 24,051.99
  5. Step 5: Solve for x
    x = 24,051.99/164.36
  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.