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Finding the Fourth Proportional to 40.76, 55.78 and 39.92

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Solution

The fourth proportional to 40.76, 55.78 and 39.92 is: 54.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.76 : 55.78 = 39.92 : x
  2. Step 2: Convert to fraction form
    40.76/55.78 = 39.92/x
  3. Step 3: Cross multiply
    40.76x = 55.78 × 39.92
  4. Step 4: Simplify right side
    40.76x = 2,226.74
  5. Step 5: Solve for x
    x = 2,226.74/40.76
  6. Step 6: Final answer
    x = 54.63

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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.