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Finding the Fourth Proportional to 31.61, 43.63 and 23.43

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Solution

The fourth proportional to 31.61, 43.63 and 23.43 is: 32.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.61 : 43.63 = 23.43 : x
  2. Step 2: Convert to fraction form
    31.61/43.63 = 23.43/x
  3. Step 3: Cross multiply
    31.61x = 43.63 × 23.43
  4. Step 4: Simplify right side
    31.61x = 1,022.36
  5. Step 5: Solve for x
    x = 1,022.36/31.61
  6. Step 6: Final answer
    x = 32.34

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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.