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Finding the Fourth Proportional to 91.61, 137.38 and 36.80

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Solution

The fourth proportional to 91.61, 137.38 and 36.80 is: 55.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.61 : 137.38 = 36.80 : x
  2. Step 2: Convert to fraction form
    91.61/137.38 = 36.80/x
  3. Step 3: Cross multiply
    91.61x = 137.38 × 36.80
  4. Step 4: Simplify right side
    91.61x = 5,055.58
  5. Step 5: Solve for x
    x = 5,055.58/91.61
  6. Step 6: Final answer
    x = 55.19

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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.