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Finding the Fourth Proportional to 23.71, 35.82 and 23.71

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Solution

The fourth proportional to 23.71, 35.82 and 23.71 is: 35.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.71 : 35.82 = 23.71 : x
  2. Step 2: Convert to fraction form
    23.71/35.82 = 23.71/x
  3. Step 3: Cross multiply
    23.71x = 35.82 × 23.71
  4. Step 4: Simplify right side
    23.71x = 849.29
  5. Step 5: Solve for x
    x = 849.29/23.71
  6. Step 6: Final answer
    x = 35.82

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Why These Related Problems?

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