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Finding the Fourth Proportional to 23.68, 35.36 and 23.23

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Solution

The fourth proportional to 23.68, 35.36 and 23.23 is: 34.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.68 : 35.36 = 23.23 : x
  2. Step 2: Convert to fraction form
    23.68/35.36 = 23.23/x
  3. Step 3: Cross multiply
    23.68x = 35.36 × 23.23
  4. Step 4: Simplify right side
    23.68x = 821.41
  5. Step 5: Solve for x
    x = 821.41/23.68
  6. Step 6: Final answer
    x = 34.69

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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.