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Finding the Fourth Proportional to 23.27, 34.76 and 22.86

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Solution

The fourth proportional to 23.27, 34.76 and 22.86 is: 34.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.27 : 34.76 = 22.86 : x
  2. Step 2: Convert to fraction form
    23.27/34.76 = 22.86/x
  3. Step 3: Cross multiply
    23.27x = 34.76 × 22.86
  4. Step 4: Simplify right side
    23.27x = 794.67
  5. Step 5: Solve for x
    x = 794.67/23.27
  6. Step 6: Final answer
    x = 34.16

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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.