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Finding the Fourth Proportional to 23.72, 32.32 and 23.64

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Solution

The fourth proportional to 23.72, 32.32 and 23.64 is: 32.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.72 : 32.32 = 23.64 : x
  2. Step 2: Convert to fraction form
    23.72/32.32 = 23.64/x
  3. Step 3: Cross multiply
    23.72x = 32.32 × 23.64
  4. Step 4: Simplify right side
    23.72x = 764.04
  5. Step 5: Solve for x
    x = 764.04/23.72
  6. Step 6: Final answer
    x = 32.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.