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Finding the Fourth Proportional to 21.83, 30.13 and 13.65

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Solution

The fourth proportional to 21.83, 30.13 and 13.65 is: 18.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.83 : 30.13 = 13.65 : x
  2. Step 2: Convert to fraction form
    21.83/30.13 = 13.65/x
  3. Step 3: Cross multiply
    21.83x = 30.13 × 13.65
  4. Step 4: Simplify right side
    21.83x = 411.27
  5. Step 5: Solve for x
    x = 411.27/21.83
  6. Step 6: Final answer
    x = 18.84

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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.