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Finding the Fourth Proportional to 40.00, 55.22 and 23.63

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Solution

The fourth proportional to 40.00, 55.22 and 23.63 is: 32.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.00 : 55.22 = 23.63 : x
  2. Step 2: Convert to fraction form
    40.00/55.22 = 23.63/x
  3. Step 3: Cross multiply
    40.00x = 55.22 × 23.63
  4. Step 4: Simplify right side
    40.00x = 1,304.45
  5. Step 5: Solve for x
    x = 1,304.45/40.00
  6. Step 6: Final answer
    x = 32.61

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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.