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Finding the Fourth Proportional to 92.96, 128.32 and 82.16

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Solution

The fourth proportional to 92.96, 128.32 and 82.16 is: 113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.96 : 128.32 = 82.16 : x
  2. Step 2: Convert to fraction form
    92.96/128.32 = 82.16/x
  3. Step 3: Cross multiply
    92.96x = 128.32 × 82.16
  4. Step 4: Simplify right side
    92.96x = 10,542.77
  5. Step 5: Solve for x
    x = 10,542.77/92.96
  6. Step 6: Final answer
    x = 113.41

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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.