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Finding the Fourth Proportional to 44.54, 61.43 and 32.90

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Solution

The fourth proportional to 44.54, 61.43 and 32.90 is: 45.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.54 : 61.43 = 32.90 : x
  2. Step 2: Convert to fraction form
    44.54/61.43 = 32.90/x
  3. Step 3: Cross multiply
    44.54x = 61.43 × 32.90
  4. Step 4: Simplify right side
    44.54x = 2,020.58
  5. Step 5: Solve for x
    x = 2,020.58/44.54
  6. Step 6: Final answer
    x = 45.37

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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.