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Finding the Fourth Proportional to 38.17, 52.58 and 27.78

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Solution

The fourth proportional to 38.17, 52.58 and 27.78 is: 38.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.17 : 52.58 = 27.78 : x
  2. Step 2: Convert to fraction form
    38.17/52.58 = 27.78/x
  3. Step 3: Cross multiply
    38.17x = 52.58 × 27.78
  4. Step 4: Simplify right side
    38.17x = 1,460.74
  5. Step 5: Solve for x
    x = 1,460.74/38.17
  6. Step 6: Final answer
    x = 38.27

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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.