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Finding the Fourth Proportional to 21.60, 32.34 and 12.57

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Solution

The fourth proportional to 21.60, 32.34 and 12.57 is: 18.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.60 : 32.34 = 12.57 : x
  2. Step 2: Convert to fraction form
    21.60/32.34 = 12.57/x
  3. Step 3: Cross multiply
    21.60x = 32.34 × 12.57
  4. Step 4: Simplify right side
    21.60x = 406.44
  5. Step 5: Solve for x
    x = 406.44/21.60
  6. Step 6: Final answer
    x = 18.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.