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Finding the Fourth Proportional to 21.75, 32.64 and 7.51

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Solution

The fourth proportional to 21.75, 32.64 and 7.51 is: 11.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.75 : 32.64 = 7.51 : x
  2. Step 2: Convert to fraction form
    21.75/32.64 = 7.51/x
  3. Step 3: Cross multiply
    21.75x = 32.64 × 7.51
  4. Step 4: Simplify right side
    21.75x = 245.09
  5. Step 5: Solve for x
    x = 245.09/21.75
  6. Step 6: Final answer
    x = 11.27

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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.