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Finding the Fourth Proportional to 92.92, 128.22 and 54.10

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Solution

The fourth proportional to 92.92, 128.22 and 54.10 is: 74.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.92 : 128.22 = 54.10 : x
  2. Step 2: Convert to fraction form
    92.92/128.22 = 54.10/x
  3. Step 3: Cross multiply
    92.92x = 128.22 × 54.10
  4. Step 4: Simplify right side
    92.92x = 6,936.70
  5. Step 5: Solve for x
    x = 6,936.70/92.92
  6. Step 6: Final answer
    x = 74.65

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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.