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Finding the Fourth Proportional to 43.25, 64.86 and 16.19

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Solution

The fourth proportional to 43.25, 64.86 and 16.19 is: 24.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.25 : 64.86 = 16.19 : x
  2. Step 2: Convert to fraction form
    43.25/64.86 = 16.19/x
  3. Step 3: Cross multiply
    43.25x = 64.86 × 16.19
  4. Step 4: Simplify right side
    43.25x = 1,050.08
  5. Step 5: Solve for x
    x = 1,050.08/43.25
  6. Step 6: Final answer
    x = 24.28

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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.