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Finding the Fourth Proportional to 91.26, 136.76 and 52.11

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Solution

The fourth proportional to 91.26, 136.76 and 52.11 is: 78.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.26 : 136.76 = 52.11 : x
  2. Step 2: Convert to fraction form
    91.26/136.76 = 52.11/x
  3. Step 3: Cross multiply
    91.26x = 136.76 × 52.11
  4. Step 4: Simplify right side
    91.26x = 7,126.30
  5. Step 5: Solve for x
    x = 7,126.30/91.26
  6. Step 6: Final answer
    x = 78.09

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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.