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Finding the Fourth Proportional to 9.54, 13.16 and 7.71

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Solution

The fourth proportional to 9.54, 13.16 and 7.71 is: 10.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.54 : 13.16 = 7.71 : x
  2. Step 2: Convert to fraction form
    9.54/13.16 = 7.71/x
  3. Step 3: Cross multiply
    9.54x = 13.16 × 7.71
  4. Step 4: Simplify right side
    9.54x = 101.43
  5. Step 5: Solve for x
    x = 101.43/9.54
  6. Step 6: Final answer
    x = 10.63

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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.