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Finding the Fourth Proportional to 22.96, 31.62 and 20.08

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Solution

The fourth proportional to 22.96, 31.62 and 20.08 is: 27.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.96 : 31.62 = 20.08 : x
  2. Step 2: Convert to fraction form
    22.96/31.62 = 20.08/x
  3. Step 3: Cross multiply
    22.96x = 31.62 × 20.08
  4. Step 4: Simplify right side
    22.96x = 634.93
  5. Step 5: Solve for x
    x = 634.93/22.96
  6. Step 6: Final answer
    x = 27.65

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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.