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Finding the Fourth Proportional to 9.60, 13.22 and 7.16

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Solution

The fourth proportional to 9.60, 13.22 and 7.16 is: 9.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.60 : 13.22 = 7.16 : x
  2. Step 2: Convert to fraction form
    9.60/13.22 = 7.16/x
  3. Step 3: Cross multiply
    9.60x = 13.22 × 7.16
  4. Step 4: Simplify right side
    9.60x = 94.66
  5. Step 5: Solve for x
    x = 94.66/9.60
  6. Step 6: Final answer
    x = 9.86

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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.