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Finding the Fourth Proportional to 40.24, 55.48 and 31.46

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Solution

The fourth proportional to 40.24, 55.48 and 31.46 is: 43.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.24 : 55.48 = 31.46 : x
  2. Step 2: Convert to fraction form
    40.24/55.48 = 31.46/x
  3. Step 3: Cross multiply
    40.24x = 55.48 × 31.46
  4. Step 4: Simplify right side
    40.24x = 1,745.31
  5. Step 5: Solve for x
    x = 1,745.31/40.24
  6. Step 6: Final answer
    x = 43.37

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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.