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Finding the Fourth Proportional to 164.14, 226.47 and 101.96

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Solution

The fourth proportional to 164.14, 226.47 and 101.96 is: 140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.14 : 226.47 = 101.96 : x
  2. Step 2: Convert to fraction form
    164.14/226.47 = 101.96/x
  3. Step 3: Cross multiply
    164.14x = 226.47 × 101.96
  4. Step 4: Simplify right side
    164.14x = 23,090.88
  5. Step 5: Solve for x
    x = 23,090.88/164.14
  6. Step 6: Final answer
    x = 140.68

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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.