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Finding the Fourth Proportional to 23.76, 35.84 and 23.04

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Solution

The fourth proportional to 23.76, 35.84 and 23.04 is: 34.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.76 : 35.84 = 23.04 : x
  2. Step 2: Convert to fraction form
    23.76/35.84 = 23.04/x
  3. Step 3: Cross multiply
    23.76x = 35.84 × 23.04
  4. Step 4: Simplify right side
    23.76x = 825.64
  5. Step 5: Solve for x
    x = 825.64/23.76
  6. Step 6: Final answer
    x = 34.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.