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Finding the Fourth Proportional to 40.82, 56.22 and 31.56

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Solution

The fourth proportional to 40.82, 56.22 and 31.56 is: 43.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.82 : 56.22 = 31.56 : x
  2. Step 2: Convert to fraction form
    40.82/56.22 = 31.56/x
  3. Step 3: Cross multiply
    40.82x = 56.22 × 31.56
  4. Step 4: Simplify right side
    40.82x = 1,774.30
  5. Step 5: Solve for x
    x = 1,774.30/40.82
  6. Step 6: Final answer
    x = 43.47

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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.