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Finding the Fourth Proportional to 122.23, 183.29 and 49.07

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Solution

The fourth proportional to 122.23, 183.29 and 49.07 is: 73.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.23 : 183.29 = 49.07 : x
  2. Step 2: Convert to fraction form
    122.23/183.29 = 49.07/x
  3. Step 3: Cross multiply
    122.23x = 183.29 × 49.07
  4. Step 4: Simplify right side
    122.23x = 8,993.12
  5. Step 5: Solve for x
    x = 8,993.12/122.23
  6. Step 6: Final answer
    x = 73.58

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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.