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Finding the Fourth Proportional to 57.34, 85.97 and 26.92

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Solution

The fourth proportional to 57.34, 85.97 and 26.92 is: 40.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.34 : 85.97 = 26.92 : x
  2. Step 2: Convert to fraction form
    57.34/85.97 = 26.92/x
  3. Step 3: Cross multiply
    57.34x = 85.97 × 26.92
  4. Step 4: Simplify right side
    57.34x = 2,314.16
  5. Step 5: Solve for x
    x = 2,314.16/57.34
  6. Step 6: Final answer
    x = 40.36

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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.