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Finding the Fourth Proportional to 23.61, 32.43 and 23.31

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Solution

The fourth proportional to 23.61, 32.43 and 23.31 is: 32.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.61 : 32.43 = 23.31 : x
  2. Step 2: Convert to fraction form
    23.61/32.43 = 23.31/x
  3. Step 3: Cross multiply
    23.61x = 32.43 × 23.31
  4. Step 4: Simplify right side
    23.61x = 755.94
  5. Step 5: Solve for x
    x = 755.94/23.61
  6. Step 6: Final answer
    x = 32.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.