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Finding the Fourth Proportional to 122.46, 169.00 and 70.71

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Solution

The fourth proportional to 122.46, 169.00 and 70.71 is: 97.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.46 : 169.00 = 70.71 : x
  2. Step 2: Convert to fraction form
    122.46/169.00 = 70.71/x
  3. Step 3: Cross multiply
    122.46x = 169.00 × 70.71
  4. Step 4: Simplify right side
    122.46x = 11,949.81
  5. Step 5: Solve for x
    x = 11,949.81/122.46
  6. Step 6: Final answer
    x = 97.58

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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.