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Finding the Fourth Proportional to 92.98, 128.24 and 82.49

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Solution

The fourth proportional to 92.98, 128.24 and 82.49 is: 113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.98 : 128.24 = 82.49 : x
  2. Step 2: Convert to fraction form
    92.98/128.24 = 82.49/x
  3. Step 3: Cross multiply
    92.98x = 128.24 × 82.49
  4. Step 4: Simplify right side
    92.98x = 10,577.46
  5. Step 5: Solve for x
    x = 10,577.46/92.98
  6. Step 6: Final answer
    x = 113.77

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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.