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Finding the Fourth Proportional to 44.31, 66.38 and 33.50

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Solution

The fourth proportional to 44.31, 66.38 and 33.50 is: 50.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.31 : 66.38 = 33.50 : x
  2. Step 2: Convert to fraction form
    44.31/66.38 = 33.50/x
  3. Step 3: Cross multiply
    44.31x = 66.38 × 33.50
  4. Step 4: Simplify right side
    44.31x = 2,223.23
  5. Step 5: Solve for x
    x = 2,223.23/44.31
  6. Step 6: Final answer
    x = 50.17

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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.