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Finding the Fourth Proportional to 123.40, 185.09 and 46.38

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Solution

The fourth proportional to 123.40, 185.09 and 46.38 is: 69.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.40 : 185.09 = 46.38 : x
  2. Step 2: Convert to fraction form
    123.40/185.09 = 46.38/x
  3. Step 3: Cross multiply
    123.40x = 185.09 × 46.38
  4. Step 4: Simplify right side
    123.40x = 8,583.98
  5. Step 5: Solve for x
    x = 8,583.98/123.40
  6. Step 6: Final answer
    x = 69.56

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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.