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Finding the Fourth Proportional to 66.53, 91.68 and 61.94

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Solution

The fourth proportional to 66.53, 91.68 and 61.94 is: 85.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.53 : 91.68 = 61.94 : x
  2. Step 2: Convert to fraction form
    66.53/91.68 = 61.94/x
  3. Step 3: Cross multiply
    66.53x = 91.68 × 61.94
  4. Step 4: Simplify right side
    66.53x = 5,678.20
  5. Step 5: Solve for x
    x = 5,678.20/66.53
  6. Step 6: Final answer
    x = 85.35

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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.