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Finding the Fourth Proportional to 66.20, 90.68 and 66.02

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Solution

The fourth proportional to 66.20, 90.68 and 66.02 is: 90.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.20 : 90.68 = 66.02 : x
  2. Step 2: Convert to fraction form
    66.20/90.68 = 66.02/x
  3. Step 3: Cross multiply
    66.20x = 90.68 × 66.02
  4. Step 4: Simplify right side
    66.20x = 5,986.69
  5. Step 5: Solve for x
    x = 5,986.69/66.20
  6. Step 6: Final answer
    x = 90.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.