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Finding the Fourth Proportional to 91.13, 136.67 and 30.25

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Solution

The fourth proportional to 91.13, 136.67 and 30.25 is: 45.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.13 : 136.67 = 30.25 : x
  2. Step 2: Convert to fraction form
    91.13/136.67 = 30.25/x
  3. Step 3: Cross multiply
    91.13x = 136.67 × 30.25
  4. Step 4: Simplify right side
    91.13x = 4,134.27
  5. Step 5: Solve for x
    x = 4,134.27/91.13
  6. Step 6: Final answer
    x = 45.37

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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.