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Finding the Fourth Proportional to 26.78, 36.93 and 16.28

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Solution

The fourth proportional to 26.78, 36.93 and 16.28 is: 22.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.78 : 36.93 = 16.28 : x
  2. Step 2: Convert to fraction form
    26.78/36.93 = 16.28/x
  3. Step 3: Cross multiply
    26.78x = 36.93 × 16.28
  4. Step 4: Simplify right side
    26.78x = 601.04
  5. Step 5: Solve for x
    x = 601.04/26.78
  6. Step 6: Final answer
    x = 22.45

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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.