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Finding the Fourth Proportional to 91.37, 136.96 and 54.86

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Solution

The fourth proportional to 91.37, 136.96 and 54.86 is: 82.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.37 : 136.96 = 54.86 : x
  2. Step 2: Convert to fraction form
    91.37/136.96 = 54.86/x
  3. Step 3: Cross multiply
    91.37x = 136.96 × 54.86
  4. Step 4: Simplify right side
    91.37x = 7,513.68
  5. Step 5: Solve for x
    x = 7,513.68/91.37
  6. Step 6: Final answer
    x = 82.23

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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.