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Finding the Fourth Proportional to 8.70, 11.96 and 7.16

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Solution

The fourth proportional to 8.70, 11.96 and 7.16 is: 9.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.70 : 11.96 = 7.16 : x
  2. Step 2: Convert to fraction form
    8.70/11.96 = 7.16/x
  3. Step 3: Cross multiply
    8.70x = 11.96 × 7.16
  4. Step 4: Simplify right side
    8.70x = 85.54
  5. Step 5: Solve for x
    x = 85.54/8.70
  6. Step 6: Final answer
    x = 9.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.