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Finding the Fourth Proportional to 23.83, 35.92 and 23.57

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Solution

The fourth proportional to 23.83, 35.92 and 23.57 is: 35.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.83 : 35.92 = 23.57 : x
  2. Step 2: Convert to fraction form
    23.83/35.92 = 23.57/x
  3. Step 3: Cross multiply
    23.83x = 35.92 × 23.57
  4. Step 4: Simplify right side
    23.83x = 846.63
  5. Step 5: Solve for x
    x = 846.63/23.83
  6. Step 6: Final answer
    x = 35.54

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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.