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Finding the Fourth Proportional to 66.67, 100.14 and 41.05

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Solution

The fourth proportional to 66.67, 100.14 and 41.05 is: 61.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.67 : 100.14 = 41.05 : x
  2. Step 2: Convert to fraction form
    66.67/100.14 = 41.05/x
  3. Step 3: Cross multiply
    66.67x = 100.14 × 41.05
  4. Step 4: Simplify right side
    66.67x = 4,110.72
  5. Step 5: Solve for x
    x = 4,110.72/66.67
  6. Step 6: Final answer
    x = 61.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.