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Finding the Fourth Proportional to 135.08, 202.36 and 74.24

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Solution

The fourth proportional to 135.08, 202.36 and 74.24 is: 111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.08 : 202.36 = 74.24 : x
  2. Step 2: Convert to fraction form
    135.08/202.36 = 74.24/x
  3. Step 3: Cross multiply
    135.08x = 202.36 × 74.24
  4. Step 4: Simplify right side
    135.08x = 15,023.21
  5. Step 5: Solve for x
    x = 15,023.21/135.08
  6. Step 6: Final answer
    x = 111.22

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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.