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Finding the Fourth Proportional to 28.17, 38.64 and 27.77

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Solution

The fourth proportional to 28.17, 38.64 and 27.77 is: 38.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.17 : 38.64 = 27.77 : x
  2. Step 2: Convert to fraction form
    28.17/38.64 = 27.77/x
  3. Step 3: Cross multiply
    28.17x = 38.64 × 27.77
  4. Step 4: Simplify right side
    28.17x = 1,072.74
  5. Step 5: Solve for x
    x = 1,072.74/28.17
  6. Step 6: Final answer
    x = 38.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.