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Finding the Fourth Proportional to 164.45, 246.36 and 106.76

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Solution

The fourth proportional to 164.45, 246.36 and 106.76 is: 159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.45 : 246.36 = 106.76 : x
  2. Step 2: Convert to fraction form
    164.45/246.36 = 106.76/x
  3. Step 3: Cross multiply
    164.45x = 246.36 × 106.76
  4. Step 4: Simplify right side
    164.45x = 26,301.39
  5. Step 5: Solve for x
    x = 26,301.39/164.45
  6. Step 6: Final answer
    x = 159.94

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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.