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Finding the Fourth Proportional to 57.06, 85.34 and 37.82

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Solution

The fourth proportional to 57.06, 85.34 and 37.82 is: 56.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.06 : 85.34 = 37.82 : x
  2. Step 2: Convert to fraction form
    57.06/85.34 = 37.82/x
  3. Step 3: Cross multiply
    57.06x = 85.34 × 37.82
  4. Step 4: Simplify right side
    57.06x = 3,226.94
  5. Step 5: Solve for x
    x = 3,226.94/57.06
  6. Step 6: Final answer
    x = 56.55

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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.