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Finding the Fourth Proportional to 134.33, 201.96 and 73.71

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Solution

The fourth proportional to 134.33, 201.96 and 73.71 is: 110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.33 : 201.96 = 73.71 : x
  2. Step 2: Convert to fraction form
    134.33/201.96 = 73.71/x
  3. Step 3: Cross multiply
    134.33x = 201.96 × 73.71
  4. Step 4: Simplify right side
    134.33x = 14,886.47
  5. Step 5: Solve for x
    x = 14,886.47/134.33
  6. Step 6: Final answer
    x = 110.82

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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.