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Finding the Fourth Proportional to 11.46, 15.77 and 9.64

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Solution

The fourth proportional to 11.46, 15.77 and 9.64 is: 13.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.46 : 15.77 = 9.64 : x
  2. Step 2: Convert to fraction form
    11.46/15.77 = 9.64/x
  3. Step 3: Cross multiply
    11.46x = 15.77 × 9.64
  4. Step 4: Simplify right side
    11.46x = 152.02
  5. Step 5: Solve for x
    x = 152.02/11.46
  6. Step 6: Final answer
    x = 13.27

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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.