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Finding the Fourth Proportional to 135.70, 202.57 and 115.20

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Solution

The fourth proportional to 135.70, 202.57 and 115.20 is: 171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.70 : 202.57 = 115.20 : x
  2. Step 2: Convert to fraction form
    135.70/202.57 = 115.20/x
  3. Step 3: Cross multiply
    135.70x = 202.57 × 115.20
  4. Step 4: Simplify right side
    135.70x = 23,335.78
  5. Step 5: Solve for x
    x = 23,335.78/135.70
  6. Step 6: Final answer
    x = 171.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.