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Finding the Fourth Proportional to 56.67, 85.00 and 30.99

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Solution

The fourth proportional to 56.67, 85.00 and 30.99 is: 46.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.67 : 85.00 = 30.99 : x
  2. Step 2: Convert to fraction form
    56.67/85.00 = 30.99/x
  3. Step 3: Cross multiply
    56.67x = 85.00 × 30.99
  4. Step 4: Simplify right side
    56.67x = 2,633.98
  5. Step 5: Solve for x
    x = 2,633.98/56.67
  6. Step 6: Final answer
    x = 46.48

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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.