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Finding the Fourth Proportional to 66.96, 100.20 and 47.72

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Solution

The fourth proportional to 66.96, 100.20 and 47.72 is: 71.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.96 : 100.20 = 47.72 : x
  2. Step 2: Convert to fraction form
    66.96/100.20 = 47.72/x
  3. Step 3: Cross multiply
    66.96x = 100.20 × 47.72
  4. Step 4: Simplify right side
    66.96x = 4,781.97
  5. Step 5: Solve for x
    x = 4,781.97/66.96
  6. Step 6: Final answer
    x = 71.42

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