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Finding the Fourth Proportional to 27.38, 37.75 and 21.24

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Solution

The fourth proportional to 27.38, 37.75 and 21.24 is: 29.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.38 : 37.75 = 21.24 : x
  2. Step 2: Convert to fraction form
    27.38/37.75 = 21.24/x
  3. Step 3: Cross multiply
    27.38x = 37.75 × 21.24
  4. Step 4: Simplify right side
    27.38x = 801.81
  5. Step 5: Solve for x
    x = 801.81/27.38
  6. Step 6: Final answer
    x = 29.28

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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.