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Finding the Fourth Proportional to 134.66, 202.03 and 96.22

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Solution

The fourth proportional to 134.66, 202.03 and 96.22 is: 144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.66 : 202.03 = 96.22 : x
  2. Step 2: Convert to fraction form
    134.66/202.03 = 96.22/x
  3. Step 3: Cross multiply
    134.66x = 202.03 × 96.22
  4. Step 4: Simplify right side
    134.66x = 19,439.33
  5. Step 5: Solve for x
    x = 19,439.33/134.66
  6. Step 6: Final answer
    x = 144.36

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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.