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Finding the Fourth Proportional to 23.68, 35.71 and 23.68

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Solution

The fourth proportional to 23.68, 35.71 and 23.68 is: 35.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.68 : 35.71 = 23.68 : x
  2. Step 2: Convert to fraction form
    23.68/35.71 = 23.68/x
  3. Step 3: Cross multiply
    23.68x = 35.71 × 23.68
  4. Step 4: Simplify right side
    23.68x = 845.61
  5. Step 5: Solve for x
    x = 845.61/23.68
  6. Step 6: Final answer
    x = 35.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.