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Finding the Fourth Proportional to 66.73, 100.06 and 34.69

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Solution

The fourth proportional to 66.73, 100.06 and 34.69 is: 52.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.73 : 100.06 = 34.69 : x
  2. Step 2: Convert to fraction form
    66.73/100.06 = 34.69/x
  3. Step 3: Cross multiply
    66.73x = 100.06 × 34.69
  4. Step 4: Simplify right side
    66.73x = 3,470.91
  5. Step 5: Solve for x
    x = 3,470.91/66.73
  6. Step 6: Final answer
    x = 52.01

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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.