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Finding the Fourth Proportional to 91.24, 137.22 and 82.96

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Solution

The fourth proportional to 91.24, 137.22 and 82.96 is: 124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.24 : 137.22 = 82.96 : x
  2. Step 2: Convert to fraction form
    91.24/137.22 = 82.96/x
  3. Step 3: Cross multiply
    91.24x = 137.22 × 82.96
  4. Step 4: Simplify right side
    91.24x = 11,383.77
  5. Step 5: Solve for x
    x = 11,383.77/91.24
  6. Step 6: Final answer
    x = 124.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.