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Finding the Fourth Proportional to 91.84, 125.96 and 85.12

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Solution

The fourth proportional to 91.84, 125.96 and 85.12 is: 116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.84 : 125.96 = 85.12 : x
  2. Step 2: Convert to fraction form
    91.84/125.96 = 85.12/x
  3. Step 3: Cross multiply
    91.84x = 125.96 × 85.12
  4. Step 4: Simplify right side
    91.84x = 10,721.72
  5. Step 5: Solve for x
    x = 10,721.72/91.84
  6. Step 6: Final answer
    x = 116.74

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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.