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Finding the Fourth Proportional to 24.46, 33.54 and 23.64

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Solution

The fourth proportional to 24.46, 33.54 and 23.64 is: 32.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.46 : 33.54 = 23.64 : x
  2. Step 2: Convert to fraction form
    24.46/33.54 = 23.64/x
  3. Step 3: Cross multiply
    24.46x = 33.54 × 23.64
  4. Step 4: Simplify right side
    24.46x = 792.89
  5. Step 5: Solve for x
    x = 792.89/24.46
  6. Step 6: Final answer
    x = 32.42

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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.