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Finding the Fourth Proportional to 23.72, 32.74 and 21.90

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Solution

The fourth proportional to 23.72, 32.74 and 21.90 is: 30.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.72 : 32.74 = 21.90 : x
  2. Step 2: Convert to fraction form
    23.72/32.74 = 21.90/x
  3. Step 3: Cross multiply
    23.72x = 32.74 × 21.90
  4. Step 4: Simplify right side
    23.72x = 717.01
  5. Step 5: Solve for x
    x = 717.01/23.72
  6. Step 6: Final answer
    x = 30.23

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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.