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Finding the Fourth Proportional to 133.86, 199.73 and 114.39

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Solution

The fourth proportional to 133.86, 199.73 and 114.39 is: 170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.86 : 199.73 = 114.39 : x
  2. Step 2: Convert to fraction form
    133.86/199.73 = 114.39/x
  3. Step 3: Cross multiply
    133.86x = 199.73 × 114.39
  4. Step 4: Simplify right side
    133.86x = 22,847.11
  5. Step 5: Solve for x
    x = 22,847.11/133.86
  6. Step 6: Final answer
    x = 170.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.