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Finding the Fourth Proportional to 19.78, 27.31 and 14.61

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Solution

The fourth proportional to 19.78, 27.31 and 14.61 is: 20.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.78 : 27.31 = 14.61 : x
  2. Step 2: Convert to fraction form
    19.78/27.31 = 14.61/x
  3. Step 3: Cross multiply
    19.78x = 27.31 × 14.61
  4. Step 4: Simplify right side
    19.78x = 399.00
  5. Step 5: Solve for x
    x = 399.00/19.78
  6. Step 6: Final answer
    x = 20.17

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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.