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Finding the Fourth Proportional to 41.40, 56.82 and 38.32

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Solution

The fourth proportional to 41.40, 56.82 and 38.32 is: 52.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.40 : 56.82 = 38.32 : x
  2. Step 2: Convert to fraction form
    41.40/56.82 = 38.32/x
  3. Step 3: Cross multiply
    41.40x = 56.82 × 38.32
  4. Step 4: Simplify right side
    41.40x = 2,177.34
  5. Step 5: Solve for x
    x = 2,177.34/41.40
  6. Step 6: Final answer
    x = 52.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.