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Finding the Fourth Proportional to 26.84, 40.18 and 23.84

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Solution

The fourth proportional to 26.84, 40.18 and 23.84 is: 35.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.84 : 40.18 = 23.84 : x
  2. Step 2: Convert to fraction form
    26.84/40.18 = 23.84/x
  3. Step 3: Cross multiply
    26.84x = 40.18 × 23.84
  4. Step 4: Simplify right side
    26.84x = 957.89
  5. Step 5: Solve for x
    x = 957.89/26.84
  6. Step 6: Final answer
    x = 35.69

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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.