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Finding the Fourth Proportional to 19.97, 27.50 and 17.05

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Solution

The fourth proportional to 19.97, 27.50 and 17.05 is: 23.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.97 : 27.50 = 17.05 : x
  2. Step 2: Convert to fraction form
    19.97/27.50 = 17.05/x
  3. Step 3: Cross multiply
    19.97x = 27.50 × 17.05
  4. Step 4: Simplify right side
    19.97x = 468.72
  5. Step 5: Solve for x
    x = 468.72/19.97
  6. Step 6: Final answer
    x = 23.47

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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.