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Finding the Fourth Proportional to 91.23, 136.16 and 78.27

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Solution

The fourth proportional to 91.23, 136.16 and 78.27 is: 116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.23 : 136.16 = 78.27 : x
  2. Step 2: Convert to fraction form
    91.23/136.16 = 78.27/x
  3. Step 3: Cross multiply
    91.23x = 136.16 × 78.27
  4. Step 4: Simplify right side
    91.23x = 10,656.85
  5. Step 5: Solve for x
    x = 10,656.85/91.23
  6. Step 6: Final answer
    x = 116.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.