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Finding the Fourth Proportional to 26.84, 40.46 and 22.64

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Solution

The fourth proportional to 26.84, 40.46 and 22.64 is: 34.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.84 : 40.46 = 22.64 : x
  2. Step 2: Convert to fraction form
    26.84/40.46 = 22.64/x
  3. Step 3: Cross multiply
    26.84x = 40.46 × 22.64
  4. Step 4: Simplify right side
    26.84x = 916.01
  5. Step 5: Solve for x
    x = 916.01/26.84
  6. Step 6: Final answer
    x = 34.13

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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.