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Finding the Fourth Proportional to 134.49, 202.11 and 70.41

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Solution

The fourth proportional to 134.49, 202.11 and 70.41 is: 105.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.49 : 202.11 = 70.41 : x
  2. Step 2: Convert to fraction form
    134.49/202.11 = 70.41/x
  3. Step 3: Cross multiply
    134.49x = 202.11 × 70.41
  4. Step 4: Simplify right side
    134.49x = 14,230.57
  5. Step 5: Solve for x
    x = 14,230.57/134.49
  6. Step 6: Final answer
    x = 105.81

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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.