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Finding the Fourth Proportional to 27.36, 37.77 and 16.45

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Solution

The fourth proportional to 27.36, 37.77 and 16.45 is: 22.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.36 : 37.77 = 16.45 : x
  2. Step 2: Convert to fraction form
    27.36/37.77 = 16.45/x
  3. Step 3: Cross multiply
    27.36x = 37.77 × 16.45
  4. Step 4: Simplify right side
    27.36x = 621.32
  5. Step 5: Solve for x
    x = 621.32/27.36
  6. Step 6: Final answer
    x = 22.71

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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.