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Finding the Fourth Proportional to 123.09, 184.62 and 41.94

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Solution

The fourth proportional to 123.09, 184.62 and 41.94 is: 62.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.09 : 184.62 = 41.94 : x
  2. Step 2: Convert to fraction form
    123.09/184.62 = 41.94/x
  3. Step 3: Cross multiply
    123.09x = 184.62 × 41.94
  4. Step 4: Simplify right side
    123.09x = 7,742.96
  5. Step 5: Solve for x
    x = 7,742.96/123.09
  6. Step 6: Final answer
    x = 62.90

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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.