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Finding the Fourth Proportional to 105.54, 158.33 and 47.78

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Solution

The fourth proportional to 105.54, 158.33 and 47.78 is: 71.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.54 : 158.33 = 47.78 : x
  2. Step 2: Convert to fraction form
    105.54/158.33 = 47.78/x
  3. Step 3: Cross multiply
    105.54x = 158.33 × 47.78
  4. Step 4: Simplify right side
    105.54x = 7,563.98
  5. Step 5: Solve for x
    x = 7,563.98/105.54
  6. Step 6: Final answer
    x = 71.67

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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.