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Finding the Fourth Proportional to 43.09, 64.65 and 16.05

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Solution

The fourth proportional to 43.09, 64.65 and 16.05 is: 24.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.09 : 64.65 = 16.05 : x
  2. Step 2: Convert to fraction form
    43.09/64.65 = 16.05/x
  3. Step 3: Cross multiply
    43.09x = 64.65 × 16.05
  4. Step 4: Simplify right side
    43.09x = 1,037.63
  5. Step 5: Solve for x
    x = 1,037.63/43.09
  6. Step 6: Final answer
    x = 24.08

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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.