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Finding the Fourth Proportional to 40.73, 60.76 and 37.82

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Solution

The fourth proportional to 40.73, 60.76 and 37.82 is: 56.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.73 : 60.76 = 37.82 : x
  2. Step 2: Convert to fraction form
    40.73/60.76 = 37.82/x
  3. Step 3: Cross multiply
    40.73x = 60.76 × 37.82
  4. Step 4: Simplify right side
    40.73x = 2,297.94
  5. Step 5: Solve for x
    x = 2,297.94/40.73
  6. Step 6: Final answer
    x = 56.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.