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Finding the Fourth Proportional to 66.72, 100.23 and 41.05

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Solution

The fourth proportional to 66.72, 100.23 and 41.05 is: 61.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.72 : 100.23 = 41.05 : x
  2. Step 2: Convert to fraction form
    66.72/100.23 = 41.05/x
  3. Step 3: Cross multiply
    66.72x = 100.23 × 41.05
  4. Step 4: Simplify right side
    66.72x = 4,114.41
  5. Step 5: Solve for x
    x = 4,114.41/66.72
  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.