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Finding the Fourth Proportional to 23.97, 35.76 and 23.68

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Solution

The fourth proportional to 23.97, 35.76 and 23.68 is: 35.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.97 : 35.76 = 23.68 : x
  2. Step 2: Convert to fraction form
    23.97/35.76 = 23.68/x
  3. Step 3: Cross multiply
    23.97x = 35.76 × 23.68
  4. Step 4: Simplify right side
    23.97x = 846.80
  5. Step 5: Solve for x
    x = 846.80/23.97
  6. Step 6: Final answer
    x = 35.33

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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.