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Finding the Fourth Proportional to 57.62, 86.40 and 28.68

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Solution

The fourth proportional to 57.62, 86.40 and 28.68 is: 43.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.62 : 86.40 = 28.68 : x
  2. Step 2: Convert to fraction form
    57.62/86.40 = 28.68/x
  3. Step 3: Cross multiply
    57.62x = 86.40 × 28.68
  4. Step 4: Simplify right side
    57.62x = 2,477.95
  5. Step 5: Solve for x
    x = 2,477.95/57.62
  6. Step 6: Final answer
    x = 43.01

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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.