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Finding the Fourth Proportional to 57.38, 85.96 and 26.98

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Solution

The fourth proportional to 57.38, 85.96 and 26.98 is: 40.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.38 : 85.96 = 26.98 : x
  2. Step 2: Convert to fraction form
    57.38/85.96 = 26.98/x
  3. Step 3: Cross multiply
    57.38x = 85.96 × 26.98
  4. Step 4: Simplify right side
    57.38x = 2,318.92
  5. Step 5: Solve for x
    x = 2,318.92/57.38
  6. Step 6: Final answer
    x = 40.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.