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Finding the Fourth Proportional to 91.67, 137.54 and 83.17

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Solution

The fourth proportional to 91.67, 137.54 and 83.17 is: 124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.67 : 137.54 = 83.17 : x
  2. Step 2: Convert to fraction form
    91.67/137.54 = 83.17/x
  3. Step 3: Cross multiply
    91.67x = 137.54 × 83.17
  4. Step 4: Simplify right side
    91.67x = 11,439.07
  5. Step 5: Solve for x
    x = 11,439.07/91.67
  6. Step 6: Final answer
    x = 124.78

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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.