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Finding the Fourth Proportional to 21.25, 31.88 and 9.22

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Solution

The fourth proportional to 21.25, 31.88 and 9.22 is: 13.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.25 : 31.88 = 9.22 : x
  2. Step 2: Convert to fraction form
    21.25/31.88 = 9.22/x
  3. Step 3: Cross multiply
    21.25x = 31.88 × 9.22
  4. Step 4: Simplify right side
    21.25x = 293.93
  5. Step 5: Solve for x
    x = 293.93/21.25
  6. Step 6: Final answer
    x = 13.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.