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Finding the Fourth Proportional to 57.58, 85.93 and 51.82

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Solution

The fourth proportional to 57.58, 85.93 and 51.82 is: 77.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.58 : 85.93 = 51.82 : x
  2. Step 2: Convert to fraction form
    57.58/85.93 = 51.82/x
  3. Step 3: Cross multiply
    57.58x = 85.93 × 51.82
  4. Step 4: Simplify right side
    57.58x = 4,452.55
  5. Step 5: Solve for x
    x = 4,452.55/57.58
  6. Step 6: Final answer
    x = 77.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.