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Finding the Fourth Proportional to 19.29, 28.96 and 9.15

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Solution

The fourth proportional to 19.29, 28.96 and 9.15 is: 13.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.29 : 28.96 = 9.15 : x
  2. Step 2: Convert to fraction form
    19.29/28.96 = 9.15/x
  3. Step 3: Cross multiply
    19.29x = 28.96 × 9.15
  4. Step 4: Simplify right side
    19.29x = 264.96
  5. Step 5: Solve for x
    x = 264.96/19.29
  6. Step 6: Final answer
    x = 13.74

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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.