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Finding the Fourth Proportional to 41.90, 57.80 and 27.32

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Solution

The fourth proportional to 41.90, 57.80 and 27.32 is: 37.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.90 : 57.80 = 27.32 : x
  2. Step 2: Convert to fraction form
    41.90/57.80 = 27.32/x
  3. Step 3: Cross multiply
    41.90x = 57.80 × 27.32
  4. Step 4: Simplify right side
    41.90x = 1,578.81
  5. Step 5: Solve for x
    x = 1,578.81/41.90
  6. Step 6: Final answer
    x = 37.68

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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.