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Finding the Fourth Proportional to 91.96, 137.96 and 40.60

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Solution

The fourth proportional to 91.96, 137.96 and 40.60 is: 60.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.96 : 137.96 = 40.60 : x
  2. Step 2: Convert to fraction form
    91.96/137.96 = 40.60/x
  3. Step 3: Cross multiply
    91.96x = 137.96 × 40.60
  4. Step 4: Simplify right side
    91.96x = 5,601.18
  5. Step 5: Solve for x
    x = 5,601.18/91.96
  6. Step 6: Final answer
    x = 60.91

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Why These Related Problems?

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