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Finding the Fourth Proportional to 133.74, 199.54 and 114.26

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Solution

The fourth proportional to 133.74, 199.54 and 114.26 is: 170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.74 : 199.54 = 114.26 : x
  2. Step 2: Convert to fraction form
    133.74/199.54 = 114.26/x
  3. Step 3: Cross multiply
    133.74x = 199.54 × 114.26
  4. Step 4: Simplify right side
    133.74x = 22,799.44
  5. Step 5: Solve for x
    x = 22,799.44/133.74
  6. Step 6: Final answer
    x = 170.48

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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.