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Finding the Fourth Proportional to 122.34, 183.54 and 41.20

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Solution

The fourth proportional to 122.34, 183.54 and 41.20 is: 61.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.34 : 183.54 = 41.20 : x
  2. Step 2: Convert to fraction form
    122.34/183.54 = 41.20/x
  3. Step 3: Cross multiply
    122.34x = 183.54 × 41.20
  4. Step 4: Simplify right side
    122.34x = 7,561.85
  5. Step 5: Solve for x
    x = 7,561.85/122.34
  6. Step 6: Final answer
    x = 61.81

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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.