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Finding the Fourth Proportional to 164.05, 226.38 and 89.36

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Solution

The fourth proportional to 164.05, 226.38 and 89.36 is: 123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.05 : 226.38 = 89.36 : x
  2. Step 2: Convert to fraction form
    164.05/226.38 = 89.36/x
  3. Step 3: Cross multiply
    164.05x = 226.38 × 89.36
  4. Step 4: Simplify right side
    164.05x = 20,228.18
  5. Step 5: Solve for x
    x = 20,228.18/164.05
  6. Step 6: Final answer
    x = 123.31

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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.