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Finding the Fourth Proportional to 36.59, 54.87 and 16.31

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Solution

The fourth proportional to 36.59, 54.87 and 16.31 is: 24.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.59 : 54.87 = 16.31 : x
  2. Step 2: Convert to fraction form
    36.59/54.87 = 16.31/x
  3. Step 3: Cross multiply
    36.59x = 54.87 × 16.31
  4. Step 4: Simplify right side
    36.59x = 894.66
  5. Step 5: Solve for x
    x = 894.66/36.59
  6. Step 6: Final answer
    x = 24.45

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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.