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Finding the Fourth Proportional to 28.66, 39.75 and 27.58

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Solution

The fourth proportional to 28.66, 39.75 and 27.58 is: 38.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.66 : 39.75 = 27.58 : x
  2. Step 2: Convert to fraction form
    28.66/39.75 = 27.58/x
  3. Step 3: Cross multiply
    28.66x = 39.75 × 27.58
  4. Step 4: Simplify right side
    28.66x = 1,096.31
  5. Step 5: Solve for x
    x = 1,096.31/28.66
  6. Step 6: Final answer
    x = 38.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.