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Finding the Fourth Proportional to 23.68, 32.49 and 22.64

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Solution

The fourth proportional to 23.68, 32.49 and 22.64 is: 31.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.68 : 32.49 = 22.64 : x
  2. Step 2: Convert to fraction form
    23.68/32.49 = 22.64/x
  3. Step 3: Cross multiply
    23.68x = 32.49 × 22.64
  4. Step 4: Simplify right side
    23.68x = 735.57
  5. Step 5: Solve for x
    x = 735.57/23.68
  6. Step 6: Final answer
    x = 31.06

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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.