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Finding the Fourth Proportional to 57.30, 85.78 and 36.94

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Solution

The fourth proportional to 57.30, 85.78 and 36.94 is: 55.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.30 : 85.78 = 36.94 : x
  2. Step 2: Convert to fraction form
    57.30/85.78 = 36.94/x
  3. Step 3: Cross multiply
    57.30x = 85.78 × 36.94
  4. Step 4: Simplify right side
    57.30x = 3,168.71
  5. Step 5: Solve for x
    x = 3,168.71/57.30
  6. Step 6: Final answer
    x = 55.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.