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Finding the Fourth Proportional to 27.03, 37.30 and 15.38

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Solution

The fourth proportional to 27.03, 37.30 and 15.38 is: 21.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.03 : 37.30 = 15.38 : x
  2. Step 2: Convert to fraction form
    27.03/37.30 = 15.38/x
  3. Step 3: Cross multiply
    27.03x = 37.30 × 15.38
  4. Step 4: Simplify right side
    27.03x = 573.49
  5. Step 5: Solve for x
    x = 573.49/27.03
  6. Step 6: Final answer
    x = 21.22

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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.