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Finding the Fourth Proportional to 15.38, 22.96 and 15

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Solution

The fourth proportional to 15.38, 22.96 and 15 is: 22.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.38 : 22.96 = 15 : x
  2. Step 2: Convert to fraction form
    15.38/22.96 = 15/x
  3. Step 3: Cross multiply
    15.38x = 22.96 × 15
  4. Step 4: Simplify right side
    15.38x = 344.40
  5. Step 5: Solve for x
    x = 344.40/15.38
  6. Step 6: Final answer
    x = 22.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.