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Finding the Fourth Proportional to 57.14, 85.60 and 34.25

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Solution

The fourth proportional to 57.14, 85.60 and 34.25 is: 51.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.14 : 85.60 = 34.25 : x
  2. Step 2: Convert to fraction form
    57.14/85.60 = 34.25/x
  3. Step 3: Cross multiply
    57.14x = 85.60 × 34.25
  4. Step 4: Simplify right side
    57.14x = 2,931.93
  5. Step 5: Solve for x
    x = 2,931.93/57.14
  6. Step 6: Final answer
    x = 51.32

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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.