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Finding the Fourth Proportional to 41.88, 57.78 and 27.34

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Solution

The fourth proportional to 41.88, 57.78 and 27.34 is: 37.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.88 : 57.78 = 27.34 : x
  2. Step 2: Convert to fraction form
    41.88/57.78 = 27.34/x
  3. Step 3: Cross multiply
    41.88x = 57.78 × 27.34
  4. Step 4: Simplify right side
    41.88x = 1,579.71
  5. Step 5: Solve for x
    x = 1,579.71/41.88
  6. Step 6: Final answer
    x = 37.72

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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.