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Finding the Fourth Proportional to 43.49, 60.03 and 33.63

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Solution

The fourth proportional to 43.49, 60.03 and 33.63 is: 46.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.49 : 60.03 = 33.63 : x
  2. Step 2: Convert to fraction form
    43.49/60.03 = 33.63/x
  3. Step 3: Cross multiply
    43.49x = 60.03 × 33.63
  4. Step 4: Simplify right side
    43.49x = 2,018.81
  5. Step 5: Solve for x
    x = 2,018.81/43.49
  6. Step 6: Final answer
    x = 46.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.