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Finding the Fourth Proportional to 135.34, 201.77 and 126.22

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Solution

The fourth proportional to 135.34, 201.77 and 126.22 is: 188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.34 : 201.77 = 126.22 : x
  2. Step 2: Convert to fraction form
    135.34/201.77 = 126.22/x
  3. Step 3: Cross multiply
    135.34x = 201.77 × 126.22
  4. Step 4: Simplify right side
    135.34x = 25,467.41
  5. Step 5: Solve for x
    x = 25,467.41/135.34
  6. Step 6: Final answer
    x = 188.17

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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.