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Finding the Fourth Proportional to 41.60, 57.36 and 40.82

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Solution

The fourth proportional to 41.60, 57.36 and 40.82 is: 56.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.60 : 57.36 = 40.82 : x
  2. Step 2: Convert to fraction form
    41.60/57.36 = 40.82/x
  3. Step 3: Cross multiply
    41.60x = 57.36 × 40.82
  4. Step 4: Simplify right side
    41.60x = 2,341.44
  5. Step 5: Solve for x
    x = 2,341.44/41.60
  6. Step 6: Final answer
    x = 56.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.