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Finding the Fourth Proportional to 135.22, 202.90 and 111.34

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Solution

The fourth proportional to 135.22, 202.90 and 111.34 is: 167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.22 : 202.90 = 111.34 : x
  2. Step 2: Convert to fraction form
    135.22/202.90 = 111.34/x
  3. Step 3: Cross multiply
    135.22x = 202.90 × 111.34
  4. Step 4: Simplify right side
    135.22x = 22,590.89
  5. Step 5: Solve for x
    x = 22,590.89/135.22
  6. Step 6: Final answer
    x = 167.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.