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Finding the Fourth Proportional to 61.09, 84.30 and 33.46

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Solution

The fourth proportional to 61.09, 84.30 and 33.46 is: 46.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.09 : 84.30 = 33.46 : x
  2. Step 2: Convert to fraction form
    61.09/84.30 = 33.46/x
  3. Step 3: Cross multiply
    61.09x = 84.30 × 33.46
  4. Step 4: Simplify right side
    61.09x = 2,820.44
  5. Step 5: Solve for x
    x = 2,820.44/61.09
  6. Step 6: Final answer
    x = 46.17

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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.