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Finding the Fourth Proportional to 164.37, 226.75 and 105.34

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Solution

The fourth proportional to 164.37, 226.75 and 105.34 is: 145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.37 : 226.75 = 105.34 : x
  2. Step 2: Convert to fraction form
    164.37/226.75 = 105.34/x
  3. Step 3: Cross multiply
    164.37x = 226.75 × 105.34
  4. Step 4: Simplify right side
    164.37x = 23,884.71
  5. Step 5: Solve for x
    x = 23,884.71/164.37
  6. Step 6: Final answer
    x = 145.32

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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.