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Finding the Fourth Proportional to 21.72, 32.56 and 9.68

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Solution

The fourth proportional to 21.72, 32.56 and 9.68 is: 14.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.72 : 32.56 = 9.68 : x
  2. Step 2: Convert to fraction form
    21.72/32.56 = 9.68/x
  3. Step 3: Cross multiply
    21.72x = 32.56 × 9.68
  4. Step 4: Simplify right side
    21.72x = 315.18
  5. Step 5: Solve for x
    x = 315.18/21.72
  6. Step 6: Final answer
    x = 14.51

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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.