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Finding the Fourth Proportional to 123.41, 185.98 and 111.23

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Solution

The fourth proportional to 123.41, 185.98 and 111.23 is: 167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.41 : 185.98 = 111.23 : x
  2. Step 2: Convert to fraction form
    123.41/185.98 = 111.23/x
  3. Step 3: Cross multiply
    123.41x = 185.98 × 111.23
  4. Step 4: Simplify right side
    123.41x = 20,686.00
  5. Step 5: Solve for x
    x = 20,686.00/123.41
  6. Step 6: Final answer
    x = 167.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.