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Finding the Fourth Proportional to 134.85, 202.33 and 96.58

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Solution

The fourth proportional to 134.85, 202.33 and 96.58 is: 144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.85 : 202.33 = 96.58 : x
  2. Step 2: Convert to fraction form
    134.85/202.33 = 96.58/x
  3. Step 3: Cross multiply
    134.85x = 202.33 × 96.58
  4. Step 4: Simplify right side
    134.85x = 19,540.27
  5. Step 5: Solve for x
    x = 19,540.27/134.85
  6. Step 6: Final answer
    x = 144.91

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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.