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Finding the Fourth Proportional to 40.82, 56.30 and 31.64

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Solution

The fourth proportional to 40.82, 56.30 and 31.64 is: 43.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.82 : 56.30 = 31.64 : x
  2. Step 2: Convert to fraction form
    40.82/56.30 = 31.64/x
  3. Step 3: Cross multiply
    40.82x = 56.30 × 31.64
  4. Step 4: Simplify right side
    40.82x = 1,781.33
  5. Step 5: Solve for x
    x = 1,781.33/40.82
  6. Step 6: Final answer
    x = 43.64

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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.