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Finding the Fourth Proportional to 27.74, 38.28 and 15.46

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Solution

The fourth proportional to 27.74, 38.28 and 15.46 is: 21.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.74 : 38.28 = 15.46 : x
  2. Step 2: Convert to fraction form
    27.74/38.28 = 15.46/x
  3. Step 3: Cross multiply
    27.74x = 38.28 × 15.46
  4. Step 4: Simplify right side
    27.74x = 591.81
  5. Step 5: Solve for x
    x = 591.81/27.74
  6. Step 6: Final answer
    x = 21.33

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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.