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Finding the Fourth Proportional to 48.62, 72.94 and 25.78

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Solution

The fourth proportional to 48.62, 72.94 and 25.78 is: 38.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.62 : 72.94 = 25.78 : x
  2. Step 2: Convert to fraction form
    48.62/72.94 = 25.78/x
  3. Step 3: Cross multiply
    48.62x = 72.94 × 25.78
  4. Step 4: Simplify right side
    48.62x = 1,879.90
  5. Step 5: Solve for x
    x = 1,879.90/48.62
  6. Step 6: Final answer
    x = 38.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.