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Finding the Fourth Proportional to 61.11, 84.34 and 36.22

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Solution

The fourth proportional to 61.11, 84.34 and 36.22 is: 49.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.11 : 84.34 = 36.22 : x
  2. Step 2: Convert to fraction form
    61.11/84.34 = 36.22/x
  3. Step 3: Cross multiply
    61.11x = 84.34 × 36.22
  4. Step 4: Simplify right side
    61.11x = 3,054.82
  5. Step 5: Solve for x
    x = 3,054.82/61.11
  6. Step 6: Final answer
    x = 49.99

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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.