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Finding the Fourth Proportional to 21.63, 32.42 and 13.07

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Solution

The fourth proportional to 21.63, 32.42 and 13.07 is: 19.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.63 : 32.42 = 13.07 : x
  2. Step 2: Convert to fraction form
    21.63/32.42 = 13.07/x
  3. Step 3: Cross multiply
    21.63x = 32.42 × 13.07
  4. Step 4: Simplify right side
    21.63x = 423.68
  5. Step 5: Solve for x
    x = 423.68/21.63
  6. Step 6: Final answer
    x = 19.59

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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.