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Finding the Fourth Proportional to 91.25, 136.78 and 30.34

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Solution

The fourth proportional to 91.25, 136.78 and 30.34 is: 45.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.25 : 136.78 = 30.34 : x
  2. Step 2: Convert to fraction form
    91.25/136.78 = 30.34/x
  3. Step 3: Cross multiply
    91.25x = 136.78 × 30.34
  4. Step 4: Simplify right side
    91.25x = 4,149.91
  5. Step 5: Solve for x
    x = 4,149.91/91.25
  6. Step 6: Final answer
    x = 45.48

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