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Finding the Fourth Proportional to 44.07, 66.10 and 25.78

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Solution

The fourth proportional to 44.07, 66.10 and 25.78 is: 38.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.07 : 66.10 = 25.78 : x
  2. Step 2: Convert to fraction form
    44.07/66.10 = 25.78/x
  3. Step 3: Cross multiply
    44.07x = 66.10 × 25.78
  4. Step 4: Simplify right side
    44.07x = 1,704.06
  5. Step 5: Solve for x
    x = 1,704.06/44.07
  6. Step 6: Final answer
    x = 38.67

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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.