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Finding the Fourth Proportional to 92.92, 128.22 and 57.94

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Solution

The fourth proportional to 92.92, 128.22 and 57.94 is: 79.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.92 : 128.22 = 57.94 : x
  2. Step 2: Convert to fraction form
    92.92/128.22 = 57.94/x
  3. Step 3: Cross multiply
    92.92x = 128.22 × 57.94
  4. Step 4: Simplify right side
    92.92x = 7,428.75
  5. Step 5: Solve for x
    x = 7,428.75/92.92
  6. Step 6: Final answer
    x = 79.95

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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.