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Finding the Fourth Proportional to 164.31, 226.74 and 102.15

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Solution

The fourth proportional to 164.31, 226.74 and 102.15 is: 140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.31 : 226.74 = 102.15 : x
  2. Step 2: Convert to fraction form
    164.31/226.74 = 102.15/x
  3. Step 3: Cross multiply
    164.31x = 226.74 × 102.15
  4. Step 4: Simplify right side
    164.31x = 23,160.36
  5. Step 5: Solve for x
    x = 23,160.36/164.31
  6. Step 6: Final answer
    x = 140.96

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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.