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Finding the Fourth Proportional to 44.20, 61.00 and 24.53

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Solution

The fourth proportional to 44.20, 61.00 and 24.53 is: 33.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.20 : 61.00 = 24.53 : x
  2. Step 2: Convert to fraction form
    44.20/61.00 = 24.53/x
  3. Step 3: Cross multiply
    44.20x = 61.00 × 24.53
  4. Step 4: Simplify right side
    44.20x = 1,495.96
  5. Step 5: Solve for x
    x = 1,495.96/44.20
  6. Step 6: Final answer
    x = 33.85

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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.