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Finding the Fourth Proportional to 19.80, 27.31 and 11.60

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Solution

The fourth proportional to 19.80, 27.31 and 11.60 is: 16.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.80 : 27.31 = 11.60 : x
  2. Step 2: Convert to fraction form
    19.80/27.31 = 11.60/x
  3. Step 3: Cross multiply
    19.80x = 27.31 × 11.60
  4. Step 4: Simplify right side
    19.80x = 316.80
  5. Step 5: Solve for x
    x = 316.80/19.80
  6. Step 6: Final answer
    x = 16.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.