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Finding the Fourth Proportional to 21.24, 31.84 and 9.20

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Solution

The fourth proportional to 21.24, 31.84 and 9.20 is: 13.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.24 : 31.84 = 9.20 : x
  2. Step 2: Convert to fraction form
    21.24/31.84 = 9.20/x
  3. Step 3: Cross multiply
    21.24x = 31.84 × 9.20
  4. Step 4: Simplify right side
    21.24x = 292.93
  5. Step 5: Solve for x
    x = 292.93/21.24
  6. Step 6: Final answer
    x = 13.79

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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.