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Finding the Fourth Proportional to 123.74, 185.70 and 85.12

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Solution

The fourth proportional to 123.74, 185.70 and 85.12 is: 127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.74 : 185.70 = 85.12 : x
  2. Step 2: Convert to fraction form
    123.74/185.70 = 85.12/x
  3. Step 3: Cross multiply
    123.74x = 185.70 × 85.12
  4. Step 4: Simplify right side
    123.74x = 15,806.78
  5. Step 5: Solve for x
    x = 15,806.78/123.74
  6. Step 6: Final answer
    x = 127.74

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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.