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Finding the Fourth Proportional to 164.31, 226.76 and 106.26

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Solution

The fourth proportional to 164.31, 226.76 and 106.26 is: 146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.31 : 226.76 = 106.26 : x
  2. Step 2: Convert to fraction form
    164.31/226.76 = 106.26/x
  3. Step 3: Cross multiply
    164.31x = 226.76 × 106.26
  4. Step 4: Simplify right side
    164.31x = 24,095.52
  5. Step 5: Solve for x
    x = 24,095.52/164.31
  6. Step 6: Final answer
    x = 146.65

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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.