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Finding the Fourth Proportional to 40.82, 56.23 and 31.60

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Solution

The fourth proportional to 40.82, 56.23 and 31.60 is: 43.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.82 : 56.23 = 31.60 : x
  2. Step 2: Convert to fraction form
    40.82/56.23 = 31.60/x
  3. Step 3: Cross multiply
    40.82x = 56.23 × 31.60
  4. Step 4: Simplify right side
    40.82x = 1,776.86
  5. Step 5: Solve for x
    x = 1,776.86/40.82
  6. Step 6: Final answer
    x = 43.53

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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.