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Finding the Fourth Proportional to 91.73, 136.95 and 83.23

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Solution

The fourth proportional to 91.73, 136.95 and 83.23 is: 124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.73 : 136.95 = 83.23 : x
  2. Step 2: Convert to fraction form
    91.73/136.95 = 83.23/x
  3. Step 3: Cross multiply
    91.73x = 136.95 × 83.23
  4. Step 4: Simplify right side
    91.73x = 11,398.35
  5. Step 5: Solve for x
    x = 11,398.35/91.73
  6. Step 6: Final answer
    x = 124.26

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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.