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Finding the Fourth Proportional to 40.46, 60.82 and 31.55

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Solution

The fourth proportional to 40.46, 60.82 and 31.55 is: 47.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.46 : 60.82 = 31.55 : x
  2. Step 2: Convert to fraction form
    40.46/60.82 = 31.55/x
  3. Step 3: Cross multiply
    40.46x = 60.82 × 31.55
  4. Step 4: Simplify right side
    40.46x = 1,918.49
  5. Step 5: Solve for x
    x = 1,918.49/40.46
  6. Step 6: Final answer
    x = 47.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.