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Finding the Fourth Proportional to 41.68, 57.80 and 40.68

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Solution

The fourth proportional to 41.68, 57.80 and 40.68 is: 56.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.68 : 57.80 = 40.68 : x
  2. Step 2: Convert to fraction form
    41.68/57.80 = 40.68/x
  3. Step 3: Cross multiply
    41.68x = 57.80 × 40.68
  4. Step 4: Simplify right side
    41.68x = 2,351.30
  5. Step 5: Solve for x
    x = 2,351.30/41.68
  6. Step 6: Final answer
    x = 56.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.