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Finding the Fourth Proportional to 23.62, 35.43 and 10.78

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Solution

The fourth proportional to 23.62, 35.43 and 10.78 is: 16.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.62 : 35.43 = 10.78 : x
  2. Step 2: Convert to fraction form
    23.62/35.43 = 10.78/x
  3. Step 3: Cross multiply
    23.62x = 35.43 × 10.78
  4. Step 4: Simplify right side
    23.62x = 381.76
  5. Step 5: Solve for x
    x = 381.76/23.62
  6. Step 6: Final answer
    x = 16.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.