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Finding the Fourth Proportional to 21.34, 32.02 and 7.09

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Solution

The fourth proportional to 21.34, 32.02 and 7.09 is: 10.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.34 : 32.02 = 7.09 : x
  2. Step 2: Convert to fraction form
    21.34/32.02 = 7.09/x
  3. Step 3: Cross multiply
    21.34x = 32.02 × 7.09
  4. Step 4: Simplify right side
    21.34x = 227.02
  5. Step 5: Solve for x
    x = 227.02/21.34
  6. Step 6: Final answer
    x = 10.64

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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.