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Finding the Fourth Proportional to 23.22, 32.08 and 20.02

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Solution

The fourth proportional to 23.22, 32.08 and 20.02 is: 27.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.22 : 32.08 = 20.02 : x
  2. Step 2: Convert to fraction form
    23.22/32.08 = 20.02/x
  3. Step 3: Cross multiply
    23.22x = 32.08 × 20.02
  4. Step 4: Simplify right side
    23.22x = 642.24
  5. Step 5: Solve for x
    x = 642.24/23.22
  6. Step 6: Final answer
    x = 27.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.