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Finding the Fourth Proportional to 15.93, 22.02 and 12.29

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Solution

The fourth proportional to 15.93, 22.02 and 12.29 is: 16.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.93 : 22.02 = 12.29 : x
  2. Step 2: Convert to fraction form
    15.93/22.02 = 12.29/x
  3. Step 3: Cross multiply
    15.93x = 22.02 × 12.29
  4. Step 4: Simplify right side
    15.93x = 270.57
  5. Step 5: Solve for x
    x = 270.57/15.93
  6. Step 6: Final answer
    x = 16.98

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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.