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Finding the Fourth Proportional to 91.53, 137.09 and 83.84

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Solution

The fourth proportional to 91.53, 137.09 and 83.84 is: 125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.53 : 137.09 = 83.84 : x
  2. Step 2: Convert to fraction form
    91.53/137.09 = 83.84/x
  3. Step 3: Cross multiply
    91.53x = 137.09 × 83.84
  4. Step 4: Simplify right side
    91.53x = 11,493.15
  5. Step 5: Solve for x
    x = 11,493.15/91.53
  6. Step 6: Final answer
    x = 125.57

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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.