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Finding the Fourth Proportional to 21.79, 32.66 and 10.96

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Solution

The fourth proportional to 21.79, 32.66 and 10.96 is: 16.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.79 : 32.66 = 10.96 : x
  2. Step 2: Convert to fraction form
    21.79/32.66 = 10.96/x
  3. Step 3: Cross multiply
    21.79x = 32.66 × 10.96
  4. Step 4: Simplify right side
    21.79x = 357.86
  5. Step 5: Solve for x
    x = 357.86/21.79
  6. Step 6: Final answer
    x = 16.42

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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.