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Finding the Fourth Proportional to 11.19, 15.40 and 9.24

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Solution

The fourth proportional to 11.19, 15.40 and 9.24 is: 12.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.19 : 15.40 = 9.24 : x
  2. Step 2: Convert to fraction form
    11.19/15.40 = 9.24/x
  3. Step 3: Cross multiply
    11.19x = 15.40 × 9.24
  4. Step 4: Simplify right side
    11.19x = 142.28
  5. Step 5: Solve for x
    x = 142.28/11.19
  6. Step 6: Final answer
    x = 12.72

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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.