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Finding the Fourth Proportional to 135.62, 202.28 and 114.09

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Solution

The fourth proportional to 135.62, 202.28 and 114.09 is: 170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.62 : 202.28 = 114.09 : x
  2. Step 2: Convert to fraction form
    135.62/202.28 = 114.09/x
  3. Step 3: Cross multiply
    135.62x = 202.28 × 114.09
  4. Step 4: Simplify right side
    135.62x = 23,078.13
  5. Step 5: Solve for x
    x = 23,078.13/135.62
  6. Step 6: Final answer
    x = 170.17

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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.