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Finding the Fourth Proportional to 134.66, 201.89 and 83.23

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Solution

The fourth proportional to 134.66, 201.89 and 83.23 is: 124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.66 : 201.89 = 83.23 : x
  2. Step 2: Convert to fraction form
    134.66/201.89 = 83.23/x
  3. Step 3: Cross multiply
    134.66x = 201.89 × 83.23
  4. Step 4: Simplify right side
    134.66x = 16,803.01
  5. Step 5: Solve for x
    x = 16,803.01/134.66
  6. Step 6: Final answer
    x = 124.78

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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.