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Finding the Fourth Proportional to 23.78, 35.42 and 23.61

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Solution

The fourth proportional to 23.78, 35.42 and 23.61 is: 35.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.78 : 35.42 = 23.61 : x
  2. Step 2: Convert to fraction form
    23.78/35.42 = 23.61/x
  3. Step 3: Cross multiply
    23.78x = 35.42 × 23.61
  4. Step 4: Simplify right side
    23.78x = 836.33
  5. Step 5: Solve for x
    x = 836.33/23.78
  6. Step 6: Final answer
    x = 35.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.