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Finding the Fourth Proportional to 61.36, 84.59 and 41.41

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Solution

The fourth proportional to 61.36, 84.59 and 41.41 is: 57.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.36 : 84.59 = 41.41 : x
  2. Step 2: Convert to fraction form
    61.36/84.59 = 41.41/x
  3. Step 3: Cross multiply
    61.36x = 84.59 × 41.41
  4. Step 4: Simplify right side
    61.36x = 3,503.19
  5. Step 5: Solve for x
    x = 3,503.19/61.36
  6. Step 6: Final answer
    x = 57.09

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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.