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Finding the Fourth Proportional to 133.68, 184.32 and 105.96

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Solution

The fourth proportional to 133.68, 184.32 and 105.96 is: 146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.68 : 184.32 = 105.96 : x
  2. Step 2: Convert to fraction form
    133.68/184.32 = 105.96/x
  3. Step 3: Cross multiply
    133.68x = 184.32 × 105.96
  4. Step 4: Simplify right side
    133.68x = 19,530.55
  5. Step 5: Solve for x
    x = 19,530.55/133.68
  6. Step 6: Final answer
    x = 146.10

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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.