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Finding the Fourth Proportional to 164.54, 246.95 and 68.42

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Solution

The fourth proportional to 164.54, 246.95 and 68.42 is: 102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.54 : 246.95 = 68.42 : x
  2. Step 2: Convert to fraction form
    164.54/246.95 = 68.42/x
  3. Step 3: Cross multiply
    164.54x = 246.95 × 68.42
  4. Step 4: Simplify right side
    164.54x = 16,896.32
  5. Step 5: Solve for x
    x = 16,896.32/164.54
  6. Step 6: Final answer
    x = 102.69

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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.