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Finding the Fourth Proportional to 61.06, 84.25 and 41.66

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Solution

The fourth proportional to 61.06, 84.25 and 41.66 is: 57.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.06 : 84.25 = 41.66 : x
  2. Step 2: Convert to fraction form
    61.06/84.25 = 41.66/x
  3. Step 3: Cross multiply
    61.06x = 84.25 × 41.66
  4. Step 4: Simplify right side
    61.06x = 3,509.86
  5. Step 5: Solve for x
    x = 3,509.86/61.06
  6. Step 6: Final answer
    x = 57.48

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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.