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Finding the Fourth Proportional to 135.36, 202.68 and 115.20

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Solution

The fourth proportional to 135.36, 202.68 and 115.20 is: 172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.36 : 202.68 = 115.20 : x
  2. Step 2: Convert to fraction form
    135.36/202.68 = 115.20/x
  3. Step 3: Cross multiply
    135.36x = 202.68 × 115.20
  4. Step 4: Simplify right side
    135.36x = 23,348.74
  5. Step 5: Solve for x
    x = 23,348.74/135.36
  6. Step 6: Final answer
    x = 172.49

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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.