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Finding the Fourth Proportional to 13.37, 19.85 and 13.16

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Solution

The fourth proportional to 13.37, 19.85 and 13.16 is: 19.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.37 : 19.85 = 13.16 : x
  2. Step 2: Convert to fraction form
    13.37/19.85 = 13.16/x
  3. Step 3: Cross multiply
    13.37x = 19.85 × 13.16
  4. Step 4: Simplify right side
    13.37x = 261.21
  5. Step 5: Solve for x
    x = 261.21/13.37
  6. Step 6: Final answer
    x = 19.54

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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.