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Finding the Fourth Proportional to 11.64, 16.02 and 9.78

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Solution

The fourth proportional to 11.64, 16.02 and 9.78 is: 13.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 16.02 = 9.78 : x
  2. Step 2: Convert to fraction form
    11.64/16.02 = 9.78/x
  3. Step 3: Cross multiply
    11.64x = 16.02 × 9.78
  4. Step 4: Simplify right side
    11.64x = 156.68
  5. Step 5: Solve for x
    x = 156.68/11.64
  6. Step 6: Final answer
    x = 13.46

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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.