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Finding the Fourth Proportional to 44.55, 61.20 and 36.34

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Solution

The fourth proportional to 44.55, 61.20 and 36.34 is: 49.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.55 : 61.20 = 36.34 : x
  2. Step 2: Convert to fraction form
    44.55/61.20 = 36.34/x
  3. Step 3: Cross multiply
    44.55x = 61.20 × 36.34
  4. Step 4: Simplify right side
    44.55x = 2,224.01
  5. Step 5: Solve for x
    x = 2,224.01/44.55
  6. Step 6: Final answer
    x = 49.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.