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Finding the Fourth Proportional to 134.07, 201.65 and 113.82

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Solution

The fourth proportional to 134.07, 201.65 and 113.82 is: 171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.07 : 201.65 = 113.82 : x
  2. Step 2: Convert to fraction form
    134.07/201.65 = 113.82/x
  3. Step 3: Cross multiply
    134.07x = 201.65 × 113.82
  4. Step 4: Simplify right side
    134.07x = 22,951.23
  5. Step 5: Solve for x
    x = 22,951.23/134.07
  6. Step 6: Final answer
    x = 171.19

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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.