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Finding the Fourth Proportional to 164.94, 247.42 and 83.78

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Solution

The fourth proportional to 164.94, 247.42 and 83.78 is: 125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.94 : 247.42 = 83.78 : x
  2. Step 2: Convert to fraction form
    164.94/247.42 = 83.78/x
  3. Step 3: Cross multiply
    164.94x = 247.42 × 83.78
  4. Step 4: Simplify right side
    164.94x = 20,728.85
  5. Step 5: Solve for x
    x = 20,728.85/164.94
  6. Step 6: Final answer
    x = 125.68

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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.