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Finding the Fourth Proportional to 27.25, 40.68 and 24.95

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Solution

The fourth proportional to 27.25, 40.68 and 24.95 is: 37.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.25 : 40.68 = 24.95 : x
  2. Step 2: Convert to fraction form
    27.25/40.68 = 24.95/x
  3. Step 3: Cross multiply
    27.25x = 40.68 × 24.95
  4. Step 4: Simplify right side
    27.25x = 1,014.97
  5. Step 5: Solve for x
    x = 1,014.97/27.25
  6. Step 6: Final answer
    x = 37.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.