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Finding the Fourth Proportional to 66.96, 100.28 and 46.62

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Solution

The fourth proportional to 66.96, 100.28 and 46.62 is: 69.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.96 : 100.28 = 46.62 : x
  2. Step 2: Convert to fraction form
    66.96/100.28 = 46.62/x
  3. Step 3: Cross multiply
    66.96x = 100.28 × 46.62
  4. Step 4: Simplify right side
    66.96x = 4,675.05
  5. Step 5: Solve for x
    x = 4,675.05/66.96
  6. Step 6: Final answer
    x = 69.82

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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.