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Finding the Fourth Proportional to 27.40, 37.82 and 16.48

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Solution

The fourth proportional to 27.40, 37.82 and 16.48 is: 22.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.40 : 37.82 = 16.48 : x
  2. Step 2: Convert to fraction form
    27.40/37.82 = 16.48/x
  3. Step 3: Cross multiply
    27.40x = 37.82 × 16.48
  4. Step 4: Simplify right side
    27.40x = 623.27
  5. Step 5: Solve for x
    x = 623.27/27.40
  6. Step 6: Final answer
    x = 22.75

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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.