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Finding the Fourth Proportional to 44.64, 66.92 and 20.24

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Solution

The fourth proportional to 44.64, 66.92 and 20.24 is: 30.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.64 : 66.92 = 20.24 : x
  2. Step 2: Convert to fraction form
    44.64/66.92 = 20.24/x
  3. Step 3: Cross multiply
    44.64x = 66.92 × 20.24
  4. Step 4: Simplify right side
    44.64x = 1,354.46
  5. Step 5: Solve for x
    x = 1,354.46/44.64
  6. Step 6: Final answer
    x = 30.34

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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.