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Finding the Fourth Proportional to 134.75, 202.25 and 102.89

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Solution

The fourth proportional to 134.75, 202.25 and 102.89 is: 154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.75 : 202.25 = 102.89 : x
  2. Step 2: Convert to fraction form
    134.75/202.25 = 102.89/x
  3. Step 3: Cross multiply
    134.75x = 202.25 × 102.89
  4. Step 4: Simplify right side
    134.75x = 20,808.75
  5. Step 5: Solve for x
    x = 20,808.75/134.75
  6. Step 6: Final answer
    x = 154.43

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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.