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Finding the Fourth Proportional to 18.71, 25.82 and 12.16

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Solution

The fourth proportional to 18.71, 25.82 and 12.16 is: 16.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.71 : 25.82 = 12.16 : x
  2. Step 2: Convert to fraction form
    18.71/25.82 = 12.16/x
  3. Step 3: Cross multiply
    18.71x = 25.82 × 12.16
  4. Step 4: Simplify right side
    18.71x = 313.84
  5. Step 5: Solve for x
    x = 313.84/18.71
  6. Step 6: Final answer
    x = 16.77

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Why These Related Problems?

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