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Finding the Fourth Proportional to 11.07, 16.56 and 9.03

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Solution

The fourth proportional to 11.07, 16.56 and 9.03 is: 13.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.07 : 16.56 = 9.03 : x
  2. Step 2: Convert to fraction form
    11.07/16.56 = 9.03/x
  3. Step 3: Cross multiply
    11.07x = 16.56 × 9.03
  4. Step 4: Simplify right side
    11.07x = 149.54
  5. Step 5: Solve for x
    x = 149.54/11.07
  6. Step 6: Final answer
    x = 13.51

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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.