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Finding the Fourth Proportional to 26.78, 37.04 and 24.74

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Solution

The fourth proportional to 26.78, 37.04 and 24.74 is: 34.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.78 : 37.04 = 24.74 : x
  2. Step 2: Convert to fraction form
    26.78/37.04 = 24.74/x
  3. Step 3: Cross multiply
    26.78x = 37.04 × 24.74
  4. Step 4: Simplify right side
    26.78x = 916.06
  5. Step 5: Solve for x
    x = 916.06/26.78
  6. Step 6: Final answer
    x = 34.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.