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Finding the Fourth Proportional to 40.95, 56.25 and 39.74

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Solution

The fourth proportional to 40.95, 56.25 and 39.74 is: 54.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.95 : 56.25 = 39.74 : x
  2. Step 2: Convert to fraction form
    40.95/56.25 = 39.74/x
  3. Step 3: Cross multiply
    40.95x = 56.25 × 39.74
  4. Step 4: Simplify right side
    40.95x = 2,235.09
  5. Step 5: Solve for x
    x = 2,235.09/40.95
  6. Step 6: Final answer
    x = 54.58

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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.