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Finding the Fourth Proportional to 43.09, 64.65 and 19.04

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Solution

The fourth proportional to 43.09, 64.65 and 19.04 is: 28.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.09 : 64.65 = 19.04 : x
  2. Step 2: Convert to fraction form
    43.09/64.65 = 19.04/x
  3. Step 3: Cross multiply
    43.09x = 64.65 × 19.04
  4. Step 4: Simplify right side
    43.09x = 1,230.94
  5. Step 5: Solve for x
    x = 1,230.94/43.09
  6. Step 6: Final answer
    x = 28.57

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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.