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Finding the Fourth Proportional to 57.58, 85.85 and 56.98

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Solution

The fourth proportional to 57.58, 85.85 and 56.98 is: 84.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.58 : 85.85 = 56.98 : x
  2. Step 2: Convert to fraction form
    57.58/85.85 = 56.98/x
  3. Step 3: Cross multiply
    57.58x = 85.85 × 56.98
  4. Step 4: Simplify right side
    57.58x = 4,891.73
  5. Step 5: Solve for x
    x = 4,891.73/57.58
  6. Step 6: Final answer
    x = 84.96

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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.