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Finding the Fourth Proportional to 15.96, 21.89 and 14.82

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Solution

The fourth proportional to 15.96, 21.89 and 14.82 is: 20.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.96 : 21.89 = 14.82 : x
  2. Step 2: Convert to fraction form
    15.96/21.89 = 14.82/x
  3. Step 3: Cross multiply
    15.96x = 21.89 × 14.82
  4. Step 4: Simplify right side
    15.96x = 324.41
  5. Step 5: Solve for x
    x = 324.41/15.96
  6. Step 6: Final answer
    x = 20.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.