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Finding the Fourth Proportional to 40.96, 56.20 and 38.34

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Solution

The fourth proportional to 40.96, 56.20 and 38.34 is: 52.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.96 : 56.20 = 38.34 : x
  2. Step 2: Convert to fraction form
    40.96/56.20 = 38.34/x
  3. Step 3: Cross multiply
    40.96x = 56.20 × 38.34
  4. Step 4: Simplify right side
    40.96x = 2,154.71
  5. Step 5: Solve for x
    x = 2,154.71/40.96
  6. Step 6: Final answer
    x = 52.61

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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.