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Finding the Fourth Proportional to 27.54, 38.00 and 17.85

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Solution

The fourth proportional to 27.54, 38.00 and 17.85 is: 24.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.54 : 38.00 = 17.85 : x
  2. Step 2: Convert to fraction form
    27.54/38.00 = 17.85/x
  3. Step 3: Cross multiply
    27.54x = 38.00 × 17.85
  4. Step 4: Simplify right side
    27.54x = 678.21
  5. Step 5: Solve for x
    x = 678.21/27.54
  6. Step 6: Final answer
    x = 24.63

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Why These Related Problems?

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