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Finding the Fourth Proportional to 14.00, 19.31 and 8.82

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Solution

The fourth proportional to 14.00, 19.31 and 8.82 is: 12.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.00 : 19.31 = 8.82 : x
  2. Step 2: Convert to fraction form
    14.00/19.31 = 8.82/x
  3. Step 3: Cross multiply
    14.00x = 19.31 × 8.82
  4. Step 4: Simplify right side
    14.00x = 170.23
  5. Step 5: Solve for x
    x = 170.23/14.00
  6. Step 6: Final answer
    x = 12.16

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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.