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Finding the Fourth Proportional to 40.48, 56 and 39.92

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Solution

The fourth proportional to 40.48, 56 and 39.92 is: 55.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.48 : 56 = 39.92 : x
  2. Step 2: Convert to fraction form
    40.48/56 = 39.92/x
  3. Step 3: Cross multiply
    40.48x = 56 × 39.92
  4. Step 4: Simplify right side
    40.48x = 2,235.52
  5. Step 5: Solve for x
    x = 2,235.52/40.48
  6. Step 6: Final answer
    x = 55.23

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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.