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Finding the Fourth Proportional to 23.31, 32.04 and 19.98

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Solution

The fourth proportional to 23.31, 32.04 and 19.98 is: 27.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.31 : 32.04 = 19.98 : x
  2. Step 2: Convert to fraction form
    23.31/32.04 = 19.98/x
  3. Step 3: Cross multiply
    23.31x = 32.04 × 19.98
  4. Step 4: Simplify right side
    23.31x = 640.16
  5. Step 5: Solve for x
    x = 640.16/23.31
  6. Step 6: Final answer
    x = 27.46

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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.