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Finding the Fourth Proportional to 122.46, 169.00 and 78.23

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Solution

The fourth proportional to 122.46, 169.00 and 78.23 is: 107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.46 : 169.00 = 78.23 : x
  2. Step 2: Convert to fraction form
    122.46/169.00 = 78.23/x
  3. Step 3: Cross multiply
    122.46x = 169.00 × 78.23
  4. Step 4: Simplify right side
    122.46x = 13,219.83
  5. Step 5: Solve for x
    x = 13,219.83/122.46
  6. Step 6: Final answer
    x = 107.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.