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Finding the Fourth Proportional to 41.81, 63.15 and 41.42

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Solution

The fourth proportional to 41.81, 63.15 and 41.42 is: 62.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.81 : 63.15 = 41.42 : x
  2. Step 2: Convert to fraction form
    41.81/63.15 = 41.42/x
  3. Step 3: Cross multiply
    41.81x = 63.15 × 41.42
  4. Step 4: Simplify right side
    41.81x = 2,615.36
  5. Step 5: Solve for x
    x = 2,615.36/41.81
  6. Step 6: Final answer
    x = 62.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.