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Finding the Fourth Proportional to 66.06, 89.94 and 65.85

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Solution

The fourth proportional to 66.06, 89.94 and 65.85 is: 89.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.06 : 89.94 = 65.85 : x
  2. Step 2: Convert to fraction form
    66.06/89.94 = 65.85/x
  3. Step 3: Cross multiply
    66.06x = 89.94 × 65.85
  4. Step 4: Simplify right side
    66.06x = 5,922.55
  5. Step 5: Solve for x
    x = 5,922.55/66.06
  6. Step 6: Final answer
    x = 89.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.