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Finding the Fourth Proportional to 41.57, 57.37 and 40.22

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Solution

The fourth proportional to 41.57, 57.37 and 40.22 is: 55.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.57 : 57.37 = 40.22 : x
  2. Step 2: Convert to fraction form
    41.57/57.37 = 40.22/x
  3. Step 3: Cross multiply
    41.57x = 57.37 × 40.22
  4. Step 4: Simplify right side
    41.57x = 2,307.03
  5. Step 5: Solve for x
    x = 2,307.03/41.57
  6. Step 6: Final answer
    x = 55.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.