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Finding the Fourth Proportional to 43.43, 64.80 and 33.23

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Solution

The fourth proportional to 43.43, 64.80 and 33.23 is: 49.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.43 : 64.80 = 33.23 : x
  2. Step 2: Convert to fraction form
    43.43/64.80 = 33.23/x
  3. Step 3: Cross multiply
    43.43x = 64.80 × 33.23
  4. Step 4: Simplify right side
    43.43x = 2,152.98
  5. Step 5: Solve for x
    x = 2,152.98/43.43
  6. Step 6: Final answer
    x = 49.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.