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Finding the Fourth Proportional to 23.58, 32.49 and 22.73

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Solution

The fourth proportional to 23.58, 32.49 and 22.73 is: 31.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.58 : 32.49 = 22.73 : x
  2. Step 2: Convert to fraction form
    23.58/32.49 = 22.73/x
  3. Step 3: Cross multiply
    23.58x = 32.49 × 22.73
  4. Step 4: Simplify right side
    23.58x = 738.34
  5. Step 5: Solve for x
    x = 738.34/23.58
  6. Step 6: Final answer
    x = 31.31

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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.