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Finding the Fourth Proportional to 91.80, 137.81 and 74.81

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Solution

The fourth proportional to 91.80, 137.81 and 74.81 is: 112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.80 : 137.81 = 74.81 : x
  2. Step 2: Convert to fraction form
    91.80/137.81 = 74.81/x
  3. Step 3: Cross multiply
    91.80x = 137.81 × 74.81
  4. Step 4: Simplify right side
    91.80x = 10,310.10
  5. Step 5: Solve for x
    x = 10,310.10/91.80
  6. Step 6: Final answer
    x = 112.31

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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.