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Finding the Fourth Proportional to 122.31, 183.42 and 49.19

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Solution

The fourth proportional to 122.31, 183.42 and 49.19 is: 73.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.31 : 183.42 = 49.19 : x
  2. Step 2: Convert to fraction form
    122.31/183.42 = 49.19/x
  3. Step 3: Cross multiply
    122.31x = 183.42 × 49.19
  4. Step 4: Simplify right side
    122.31x = 9,021.51
  5. Step 5: Solve for x
    x = 9,021.51/122.31
  6. Step 6: Final answer
    x = 73.76

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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.