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Finding the Fourth Proportional to 43.14, 64.73 and 16.09

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Solution

The fourth proportional to 43.14, 64.73 and 16.09 is: 24.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.14 : 64.73 = 16.09 : x
  2. Step 2: Convert to fraction form
    43.14/64.73 = 16.09/x
  3. Step 3: Cross multiply
    43.14x = 64.73 × 16.09
  4. Step 4: Simplify right side
    43.14x = 1,041.51
  5. Step 5: Solve for x
    x = 1,041.51/43.14
  6. Step 6: Final answer
    x = 24.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.