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Finding the Fourth Proportional to 57.17, 85.73 and 48.60

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Solution

The fourth proportional to 57.17, 85.73 and 48.60 is: 72.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.17 : 85.73 = 48.60 : x
  2. Step 2: Convert to fraction form
    57.17/85.73 = 48.60/x
  3. Step 3: Cross multiply
    57.17x = 85.73 × 48.60
  4. Step 4: Simplify right side
    57.17x = 4,166.24
  5. Step 5: Solve for x
    x = 4,166.24/57.17
  6. Step 6: Final answer
    x = 72.87

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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.