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Finding the Fourth Proportional to 133.99, 201.17 and 76.32

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Solution

The fourth proportional to 133.99, 201.17 and 76.32 is: 114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.99 : 201.17 = 76.32 : x
  2. Step 2: Convert to fraction form
    133.99/201.17 = 76.32/x
  3. Step 3: Cross multiply
    133.99x = 201.17 × 76.32
  4. Step 4: Simplify right side
    133.99x = 15,354.36
  5. Step 5: Solve for x
    x = 15,354.36/133.99
  6. Step 6: Final answer
    x = 114.60

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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.