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Finding the Fourth Proportional to 18.43, 27.61 and 13.07

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Solution

The fourth proportional to 18.43, 27.61 and 13.07 is: 19.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.43 : 27.61 = 13.07 : x
  2. Step 2: Convert to fraction form
    18.43/27.61 = 13.07/x
  3. Step 3: Cross multiply
    18.43x = 27.61 × 13.07
  4. Step 4: Simplify right side
    18.43x = 360.86
  5. Step 5: Solve for x
    x = 360.86/18.43
  6. Step 6: Final answer
    x = 19.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.