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Finding the Fourth Proportional to 57.05, 85.62 and 39.07

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Solution

The fourth proportional to 57.05, 85.62 and 39.07 is: 58.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.05 : 85.62 = 39.07 : x
  2. Step 2: Convert to fraction form
    57.05/85.62 = 39.07/x
  3. Step 3: Cross multiply
    57.05x = 85.62 × 39.07
  4. Step 4: Simplify right side
    57.05x = 3,344.75
  5. Step 5: Solve for x
    x = 3,344.75/57.05
  6. Step 6: Final answer
    x = 58.63

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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.