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Finding the Fourth Proportional to 66.75, 100.09 and 39.75

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Solution

The fourth proportional to 66.75, 100.09 and 39.75 is: 59.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.75 : 100.09 = 39.75 : x
  2. Step 2: Convert to fraction form
    66.75/100.09 = 39.75/x
  3. Step 3: Cross multiply
    66.75x = 100.09 × 39.75
  4. Step 4: Simplify right side
    66.75x = 3,978.58
  5. Step 5: Solve for x
    x = 3,978.58/66.75
  6. Step 6: Final answer
    x = 59.60

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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.