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Finding the Fourth Proportional to 40.21, 55.48 and 23.83

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Solution

The fourth proportional to 40.21, 55.48 and 23.83 is: 32.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.21 : 55.48 = 23.83 : x
  2. Step 2: Convert to fraction form
    40.21/55.48 = 23.83/x
  3. Step 3: Cross multiply
    40.21x = 55.48 × 23.83
  4. Step 4: Simplify right side
    40.21x = 1,321.89
  5. Step 5: Solve for x
    x = 1,321.89/40.21
  6. Step 6: Final answer
    x = 32.87

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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.