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Finding the Fourth Proportional to 134.09, 200.74 and 114.71

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Solution

The fourth proportional to 134.09, 200.74 and 114.71 is: 171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.09 : 200.74 = 114.71 : x
  2. Step 2: Convert to fraction form
    134.09/200.74 = 114.71/x
  3. Step 3: Cross multiply
    134.09x = 200.74 × 114.71
  4. Step 4: Simplify right side
    134.09x = 23,026.89
  5. Step 5: Solve for x
    x = 23,026.89/134.09
  6. Step 6: Final answer
    x = 171.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.