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Finding the Fourth Proportional to 164.45, 246.45 and 82.06

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Solution

The fourth proportional to 164.45, 246.45 and 82.06 is: 122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.45 : 246.45 = 82.06 : x
  2. Step 2: Convert to fraction form
    164.45/246.45 = 82.06/x
  3. Step 3: Cross multiply
    164.45x = 246.45 × 82.06
  4. Step 4: Simplify right side
    164.45x = 20,223.69
  5. Step 5: Solve for x
    x = 20,223.69/164.45
  6. Step 6: Final answer
    x = 122.98

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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.