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Finding the Fourth Proportional to 57.26, 85.94 and 42.11

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Solution

The fourth proportional to 57.26, 85.94 and 42.11 is: 63.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.26 : 85.94 = 42.11 : x
  2. Step 2: Convert to fraction form
    57.26/85.94 = 42.11/x
  3. Step 3: Cross multiply
    57.26x = 85.94 × 42.11
  4. Step 4: Simplify right side
    57.26x = 3,618.29
  5. Step 5: Solve for x
    x = 3,618.29/57.26
  6. Step 6: Final answer
    x = 63.20

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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.