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Finding the Fourth Proportional to 23.72, 32.96 and 23.42

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Solution

The fourth proportional to 23.72, 32.96 and 23.42 is: 32.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.72 : 32.96 = 23.42 : x
  2. Step 2: Convert to fraction form
    23.72/32.96 = 23.42/x
  3. Step 3: Cross multiply
    23.72x = 32.96 × 23.42
  4. Step 4: Simplify right side
    23.72x = 771.92
  5. Step 5: Solve for x
    x = 771.92/23.72
  6. Step 6: Final answer
    x = 32.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.