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Finding the Fourth Proportional to 19.97, 27.58 and 13.07

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Solution

The fourth proportional to 19.97, 27.58 and 13.07 is: 18.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.97 : 27.58 = 13.07 : x
  2. Step 2: Convert to fraction form
    19.97/27.58 = 13.07/x
  3. Step 3: Cross multiply
    19.97x = 27.58 × 13.07
  4. Step 4: Simplify right side
    19.97x = 360.55
  5. Step 5: Solve for x
    x = 360.55/19.97
  6. Step 6: Final answer
    x = 18.05

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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.