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Finding the Fourth Proportional to 11, 16.46 and 10.64

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Solution

The fourth proportional to 11, 16.46 and 10.64 is: 15.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11 : 16.46 = 10.64 : x
  2. Step 2: Convert to fraction form
    11/16.46 = 10.64/x
  3. Step 3: Cross multiply
    11x = 16.46 × 10.64
  4. Step 4: Simplify right side
    11x = 175.13
  5. Step 5: Solve for x
    x = 175.13/11
  6. Step 6: Final answer
    x = 15.92

Related Problems

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1.5x scale

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.