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Finding the Fourth Proportional to 122.99, 169.69 and 83.65

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Solution

The fourth proportional to 122.99, 169.69 and 83.65 is: 115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.99 : 169.69 = 83.65 : x
  2. Step 2: Convert to fraction form
    122.99/169.69 = 83.65/x
  3. Step 3: Cross multiply
    122.99x = 169.69 × 83.65
  4. Step 4: Simplify right side
    122.99x = 14,194.57
  5. Step 5: Solve for x
    x = 14,194.57/122.99
  6. Step 6: Final answer
    x = 115.41

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