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Finding the Fourth Proportional to 91.42, 137.20 and 50.86

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Solution

The fourth proportional to 91.42, 137.20 and 50.86 is: 76.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.42 : 137.20 = 50.86 : x
  2. Step 2: Convert to fraction form
    91.42/137.20 = 50.86/x
  3. Step 3: Cross multiply
    91.42x = 137.20 × 50.86
  4. Step 4: Simplify right side
    91.42x = 6,977.99
  5. Step 5: Solve for x
    x = 6,977.99/91.42
  6. Step 6: Final answer
    x = 76.33

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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.