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Finding the Fourth Proportional to 59.09, 81.50 and 36.95

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Solution

The fourth proportional to 59.09, 81.50 and 36.95 is: 50.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.09 : 81.50 = 36.95 : x
  2. Step 2: Convert to fraction form
    59.09/81.50 = 36.95/x
  3. Step 3: Cross multiply
    59.09x = 81.50 × 36.95
  4. Step 4: Simplify right side
    59.09x = 3,011.72
  5. Step 5: Solve for x
    x = 3,011.72/59.09
  6. Step 6: Final answer
    x = 50.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.