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Finding the Fourth Proportional to 66.01, 98.83 and 46.68

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Solution

The fourth proportional to 66.01, 98.83 and 46.68 is: 69.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.01 : 98.83 = 46.68 : x
  2. Step 2: Convert to fraction form
    66.01/98.83 = 46.68/x
  3. Step 3: Cross multiply
    66.01x = 98.83 × 46.68
  4. Step 4: Simplify right side
    66.01x = 4,613.38
  5. Step 5: Solve for x
    x = 4,613.38/66.01
  6. Step 6: Final answer
    x = 69.89

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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.