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Finding the Fourth Proportional to 122, 183.06 and 49.91

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Solution

The fourth proportional to 122, 183.06 and 49.91 is: 74.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122 : 183.06 = 49.91 : x
  2. Step 2: Convert to fraction form
    122/183.06 = 49.91/x
  3. Step 3: Cross multiply
    122x = 183.06 × 49.91
  4. Step 4: Simplify right side
    122x = 9,136.52
  5. Step 5: Solve for x
    x = 9,136.52/122
  6. Step 6: Final answer
    x = 74.89

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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.