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Finding the Fourth Proportional to 133.07, 183.54 and 96.17

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Solution

The fourth proportional to 133.07, 183.54 and 96.17 is: 132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.07 : 183.54 = 96.17 : x
  2. Step 2: Convert to fraction form
    133.07/183.54 = 96.17/x
  3. Step 3: Cross multiply
    133.07x = 183.54 × 96.17
  4. Step 4: Simplify right side
    133.07x = 17,650.12
  5. Step 5: Solve for x
    x = 17,650.12/133.07
  6. Step 6: Final answer
    x = 132.64

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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.