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Finding the Fourth Proportional to 24.06, 32.97 and 23.04

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Solution

The fourth proportional to 24.06, 32.97 and 23.04 is: 31.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.06 : 32.97 = 23.04 : x
  2. Step 2: Convert to fraction form
    24.06/32.97 = 23.04/x
  3. Step 3: Cross multiply
    24.06x = 32.97 × 23.04
  4. Step 4: Simplify right side
    24.06x = 759.63
  5. Step 5: Solve for x
    x = 759.63/24.06
  6. Step 6: Final answer
    x = 31.57

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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.