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Finding the Fourth Proportional to 66.43, 91.74 and 54.89

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Solution

The fourth proportional to 66.43, 91.74 and 54.89 is: 75.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.43 : 91.74 = 54.89 : x
  2. Step 2: Convert to fraction form
    66.43/91.74 = 54.89/x
  3. Step 3: Cross multiply
    66.43x = 91.74 × 54.89
  4. Step 4: Simplify right side
    66.43x = 5,035.70
  5. Step 5: Solve for x
    x = 5,035.70/66.43
  6. Step 6: Final answer
    x = 75.80

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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.