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Finding the Fourth Proportional to 27, 37.24 and 18.25

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Solution

The fourth proportional to 27, 37.24 and 18.25 is: 25.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27 : 37.24 = 18.25 : x
  2. Step 2: Convert to fraction form
    27/37.24 = 18.25/x
  3. Step 3: Cross multiply
    27x = 37.24 × 18.25
  4. Step 4: Simplify right side
    27x = 679.63
  5. Step 5: Solve for x
    x = 679.63/27
  6. Step 6: Final answer
    x = 25.17

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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.