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Finding the Fourth Proportional to 135.26, 202.53 and 83.22

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Solution

The fourth proportional to 135.26, 202.53 and 83.22 is: 124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.26 : 202.53 = 83.22 : x
  2. Step 2: Convert to fraction form
    135.26/202.53 = 83.22/x
  3. Step 3: Cross multiply
    135.26x = 202.53 × 83.22
  4. Step 4: Simplify right side
    135.26x = 16,854.55
  5. Step 5: Solve for x
    x = 16,854.55/135.26
  6. Step 6: Final answer
    x = 124.61

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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.