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Finding the Fourth Proportional to 57.20, 85.80 and 26.78

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Solution

The fourth proportional to 57.20, 85.80 and 26.78 is: 40.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.20 : 85.80 = 26.78 : x
  2. Step 2: Convert to fraction form
    57.20/85.80 = 26.78/x
  3. Step 3: Cross multiply
    57.20x = 85.80 × 26.78
  4. Step 4: Simplify right side
    57.20x = 2,297.72
  5. Step 5: Solve for x
    x = 2,297.72/57.20
  6. Step 6: Final answer
    x = 40.17

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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.