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Finding the Fourth Proportional to 57.74, 79.73 and 40.50

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Solution

The fourth proportional to 57.74, 79.73 and 40.50 is: 55.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.74 : 79.73 = 40.50 : x
  2. Step 2: Convert to fraction form
    57.74/79.73 = 40.50/x
  3. Step 3: Cross multiply
    57.74x = 79.73 × 40.50
  4. Step 4: Simplify right side
    57.74x = 3,229.07
  5. Step 5: Solve for x
    x = 3,229.07/57.74
  6. Step 6: Final answer
    x = 55.92

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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.