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Finding the Fourth Proportional to 66.53, 99.81 and 34.02

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Solution

The fourth proportional to 66.53, 99.81 and 34.02 is: 51.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.53 : 99.81 = 34.02 : x
  2. Step 2: Convert to fraction form
    66.53/99.81 = 34.02/x
  3. Step 3: Cross multiply
    66.53x = 99.81 × 34.02
  4. Step 4: Simplify right side
    66.53x = 3,394.97
  5. Step 5: Solve for x
    x = 3,394.97/66.53
  6. Step 6: Final answer
    x = 51.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.