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Finding the Fourth Proportional to 22, 32.97 and 11.86

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Solution

The fourth proportional to 22, 32.97 and 11.86 is: 17.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22 : 32.97 = 11.86 : x
  2. Step 2: Convert to fraction form
    22/32.97 = 11.86/x
  3. Step 3: Cross multiply
    22x = 32.97 × 11.86
  4. Step 4: Simplify right side
    22x = 391.02
  5. Step 5: Solve for x
    x = 391.02/22
  6. Step 6: Final answer
    x = 17.77

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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.