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Finding the Fourth Proportional to 13.06, 18.67 and 13.06

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Solution

The fourth proportional to 13.06, 18.67 and 13.06 is: 18.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.06 : 18.67 = 13.06 : x
  2. Step 2: Convert to fraction form
    13.06/18.67 = 13.06/x
  3. Step 3: Cross multiply
    13.06x = 18.67 × 13.06
  4. Step 4: Simplify right side
    13.06x = 243.83
  5. Step 5: Solve for x
    x = 243.83/13.06
  6. Step 6: Final answer
    x = 18.67

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.