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Finding the Fourth Proportional to 13.00, 19.48 and 5.78

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Solution

The fourth proportional to 13.00, 19.48 and 5.78 is: 8.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.00 : 19.48 = 5.78 : x
  2. Step 2: Convert to fraction form
    13.00/19.48 = 5.78/x
  3. Step 3: Cross multiply
    13.00x = 19.48 × 5.78
  4. Step 4: Simplify right side
    13.00x = 112.66
  5. Step 5: Solve for x
    x = 112.66/13.00
  6. Step 6: Final answer
    x = 8.67

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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.