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Finding the Fourth Proportional to 164.71, 246.92 and 106.96

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Solution

The fourth proportional to 164.71, 246.92 and 106.96 is: 160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.71 : 246.92 = 106.96 : x
  2. Step 2: Convert to fraction form
    164.71/246.92 = 106.96/x
  3. Step 3: Cross multiply
    164.71x = 246.92 × 106.96
  4. Step 4: Simplify right side
    164.71x = 26,408.79
  5. Step 5: Solve for x
    x = 26,408.79/164.71
  6. Step 6: Final answer
    x = 160.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.