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Finding the Fourth Proportional to 40.12, 55.40 and 31.96

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Solution

The fourth proportional to 40.12, 55.40 and 31.96 is: 44.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.12 : 55.40 = 31.96 : x
  2. Step 2: Convert to fraction form
    40.12/55.40 = 31.96/x
  3. Step 3: Cross multiply
    40.12x = 55.40 × 31.96
  4. Step 4: Simplify right side
    40.12x = 1,770.58
  5. Step 5: Solve for x
    x = 1,770.58/40.12
  6. Step 6: Final answer
    x = 44.13

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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.