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Finding the Fourth Proportional to 61.21, 84.47 and 33.20

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Solution

The fourth proportional to 61.21, 84.47 and 33.20 is: 45.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.21 : 84.47 = 33.20 : x
  2. Step 2: Convert to fraction form
    61.21/84.47 = 33.20/x
  3. Step 3: Cross multiply
    61.21x = 84.47 × 33.20
  4. Step 4: Simplify right side
    61.21x = 2,804.56
  5. Step 5: Solve for x
    x = 2,804.56/61.21
  6. Step 6: Final answer
    x = 45.82

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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.