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Finding the Fourth Proportional to 22.07, 30.45 and 12.86

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Solution

The fourth proportional to 22.07, 30.45 and 12.86 is: 17.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.07 : 30.45 = 12.86 : x
  2. Step 2: Convert to fraction form
    22.07/30.45 = 12.86/x
  3. Step 3: Cross multiply
    22.07x = 30.45 × 12.86
  4. Step 4: Simplify right side
    22.07x = 391.60
  5. Step 5: Solve for x
    x = 391.60/22.07
  6. Step 6: Final answer
    x = 17.74

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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.