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Finding the Fourth Proportional to 21.55, 32.17 and 19.75

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Solution

The fourth proportional to 21.55, 32.17 and 19.75 is: 29.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.55 : 32.17 = 19.75 : x
  2. Step 2: Convert to fraction form
    21.55/32.17 = 19.75/x
  3. Step 3: Cross multiply
    21.55x = 32.17 × 19.75
  4. Step 4: Simplify right side
    21.55x = 635.36
  5. Step 5: Solve for x
    x = 635.36/21.55
  6. Step 6: Final answer
    x = 29.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.