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Finding the Fourth Proportional to 23.76, 35.52 and 18.42

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Solution

The fourth proportional to 23.76, 35.52 and 18.42 is: 27.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.76 : 35.52 = 18.42 : x
  2. Step 2: Convert to fraction form
    23.76/35.52 = 18.42/x
  3. Step 3: Cross multiply
    23.76x = 35.52 × 18.42
  4. Step 4: Simplify right side
    23.76x = 654.28
  5. Step 5: Solve for x
    x = 654.28/23.76
  6. Step 6: Final answer
    x = 27.54

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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.