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Finding the Fourth Proportional to 122.16, 183.09 and 106.89

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Solution

The fourth proportional to 122.16, 183.09 and 106.89 is: 160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 183.09 = 106.89 : x
  2. Step 2: Convert to fraction form
    122.16/183.09 = 106.89/x
  3. Step 3: Cross multiply
    122.16x = 183.09 × 106.89
  4. Step 4: Simplify right side
    122.16x = 19,570.49
  5. Step 5: Solve for x
    x = 19,570.49/122.16
  6. Step 6: Final answer
    x = 160.20

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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.