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Finding the Fourth Proportional to 44.40, 66.56 and 20.34

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Solution

The fourth proportional to 44.40, 66.56 and 20.34 is: 30.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.40 : 66.56 = 20.34 : x
  2. Step 2: Convert to fraction form
    44.40/66.56 = 20.34/x
  3. Step 3: Cross multiply
    44.40x = 66.56 × 20.34
  4. Step 4: Simplify right side
    44.40x = 1,353.83
  5. Step 5: Solve for x
    x = 1,353.83/44.40
  6. Step 6: Final answer
    x = 30.49

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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.