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Finding the Fourth Proportional to 91.86, 137.06 and 82.14

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Solution

The fourth proportional to 91.86, 137.06 and 82.14 is: 122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.86 : 137.06 = 82.14 : x
  2. Step 2: Convert to fraction form
    91.86/137.06 = 82.14/x
  3. Step 3: Cross multiply
    91.86x = 137.06 × 82.14
  4. Step 4: Simplify right side
    91.86x = 11,257.70
  5. Step 5: Solve for x
    x = 11,257.70/91.86
  6. Step 6: Final answer
    x = 122.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.