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Finding the Fourth Proportional to 135.03, 202.23 and 112.08

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Solution

The fourth proportional to 135.03, 202.23 and 112.08 is: 167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.03 : 202.23 = 112.08 : x
  2. Step 2: Convert to fraction form
    135.03/202.23 = 112.08/x
  3. Step 3: Cross multiply
    135.03x = 202.23 × 112.08
  4. Step 4: Simplify right side
    135.03x = 22,665.94
  5. Step 5: Solve for x
    x = 22,665.94/135.03
  6. Step 6: Final answer
    x = 167.86

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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.