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Finding the Fourth Proportional to 133.25, 183.74 and 96.32

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Solution

The fourth proportional to 133.25, 183.74 and 96.32 is: 132.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.25 : 183.74 = 96.32 : x
  2. Step 2: Convert to fraction form
    133.25/183.74 = 96.32/x
  3. Step 3: Cross multiply
    133.25x = 183.74 × 96.32
  4. Step 4: Simplify right side
    133.25x = 17,697.81
  5. Step 5: Solve for x
    x = 17,697.81/133.25
  6. Step 6: Final answer
    x = 132.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.