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Finding the Fourth Proportional to 165.34, 228.09 and 98.92

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Solution

The fourth proportional to 165.34, 228.09 and 98.92 is: 136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.34 : 228.09 = 98.92 : x
  2. Step 2: Convert to fraction form
    165.34/228.09 = 98.92/x
  3. Step 3: Cross multiply
    165.34x = 228.09 × 98.92
  4. Step 4: Simplify right side
    165.34x = 22,562.66
  5. Step 5: Solve for x
    x = 22,562.66/165.34
  6. Step 6: Final answer
    x = 136.46

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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.