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Finding the Fourth Proportional to 132.67, 198.97 and 46.00

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Solution

The fourth proportional to 132.67, 198.97 and 46.00 is: 68.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.67 : 198.97 = 46.00 : x
  2. Step 2: Convert to fraction form
    132.67/198.97 = 46.00/x
  3. Step 3: Cross multiply
    132.67x = 198.97 × 46.00
  4. Step 4: Simplify right side
    132.67x = 9,153.00
  5. Step 5: Solve for x
    x = 9,153.00/132.67
  6. Step 6: Final answer
    x = 68.99

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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.