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Finding the Fourth Proportional to 66.35, 91.67 and 61.49

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Solution

The fourth proportional to 66.35, 91.67 and 61.49 is: 84.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.35 : 91.67 = 61.49 : x
  2. Step 2: Convert to fraction form
    66.35/91.67 = 61.49/x
  3. Step 3: Cross multiply
    66.35x = 91.67 × 61.49
  4. Step 4: Simplify right side
    66.35x = 5,636.79
  5. Step 5: Solve for x
    x = 5,636.79/66.35
  6. Step 6: Final answer
    x = 84.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.