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Finding the Fourth Proportional to 15.98, 23.84 and 13.86

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Solution

The fourth proportional to 15.98, 23.84 and 13.86 is: 20.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.98 : 23.84 = 13.86 : x
  2. Step 2: Convert to fraction form
    15.98/23.84 = 13.86/x
  3. Step 3: Cross multiply
    15.98x = 23.84 × 13.86
  4. Step 4: Simplify right side
    15.98x = 330.41
  5. Step 5: Solve for x
    x = 330.41/15.98
  6. Step 6: Final answer
    x = 20.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.