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Finding the Fourth Proportional to 165.46, 228.09 and 126.13

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Solution

The fourth proportional to 165.46, 228.09 and 126.13 is: 173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.46 : 228.09 = 126.13 : x
  2. Step 2: Convert to fraction form
    165.46/228.09 = 126.13/x
  3. Step 3: Cross multiply
    165.46x = 228.09 × 126.13
  4. Step 4: Simplify right side
    165.46x = 28,768.99
  5. Step 5: Solve for x
    x = 28,768.99/165.46
  6. Step 6: Final answer
    x = 173.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.