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Finding the Fourth Proportional to 133.58, 183.70 and 108.96

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Solution

The fourth proportional to 133.58, 183.70 and 108.96 is: 149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.58 : 183.70 = 108.96 : x
  2. Step 2: Convert to fraction form
    133.58/183.70 = 108.96/x
  3. Step 3: Cross multiply
    133.58x = 183.70 × 108.96
  4. Step 4: Simplify right side
    133.58x = 20,015.95
  5. Step 5: Solve for x
    x = 20,015.95/133.58
  6. Step 6: Final answer
    x = 149.84

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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.