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Finding the Fourth Proportional to 22.49, 31.02 and 15.22

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Solution

The fourth proportional to 22.49, 31.02 and 15.22 is: 20.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.49 : 31.02 = 15.22 : x
  2. Step 2: Convert to fraction form
    22.49/31.02 = 15.22/x
  3. Step 3: Cross multiply
    22.49x = 31.02 × 15.22
  4. Step 4: Simplify right side
    22.49x = 472.12
  5. Step 5: Solve for x
    x = 472.12/22.49
  6. Step 6: Final answer
    x = 20.99

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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.