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Finding the Fourth Proportional to 122.10, 183.14 and 41.03

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Solution

The fourth proportional to 122.10, 183.14 and 41.03 is: 61.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.10 : 183.14 = 41.03 : x
  2. Step 2: Convert to fraction form
    122.10/183.14 = 41.03/x
  3. Step 3: Cross multiply
    122.10x = 183.14 × 41.03
  4. Step 4: Simplify right side
    122.10x = 7,514.23
  5. Step 5: Solve for x
    x = 7,514.23/122.10
  6. Step 6: Final answer
    x = 61.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.