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Finding the Fourth Proportional to 11.60, 17.20 and 11.24

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Solution

The fourth proportional to 11.60, 17.20 and 11.24 is: 16.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.60 : 17.20 = 11.24 : x
  2. Step 2: Convert to fraction form
    11.60/17.20 = 11.24/x
  3. Step 3: Cross multiply
    11.60x = 17.20 × 11.24
  4. Step 4: Simplify right side
    11.60x = 193.33
  5. Step 5: Solve for x
    x = 193.33/11.60
  6. Step 6: Final answer
    x = 16.67

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.